You can & download or print using the browser document reader options. Write a python program to calculate distance between two points taking input from the user. Explain the Pythagorean Theorem and its converse. In general, we do not need to measure from the 0 mark. Worksheet on using the Pythagorean Theorem to find distance between two points using right triangles. Worksheet will open in a new window. Using a Pythagorean Theorem worksheet is a good way to prove the aforementioned equation. This video explains how to determine the distance between two points on the coordinate plane using the Pythagorean Theorem. Sal finds the distance between two points with the Pythagorean theorem. Worksheet on using the Pythagorean Theorem to find distance between two points using right triangles. R l 5A fl lF rHicg Oh4tesv 6rxe os Pe Fr Bv6eIdZ. Displaying top 8 worksheets found for - Pythagorean Theorem Distance Between Two Points. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to … Showing top 8 worksheets in the category - Pythagorean Theorem Distance Between Two Points. Worksheet on Distance Formula DUE: Jan. 31st (Tuesday) ... to hand in your work on Tuesday. Apply the Pythagorean Theorem to real world and mathematical situations. The Distance Formula One way to find the distance between two points is by using the Pythagorean theorem. Found worksheet you are looking for? Concept 15: Pythagorean Theorem Pre Score DEADLINE: (C) Level 2 1. How Distance Is Computed. In this worksheet, we will practice finding the distance between two points on the coordinate plane using the Pythagorean theorem. Pythagoras and his theorem Pythagoras was a Greek mathematician and philosopher who lived over 2500 years ago. When we have two known sides, we can easily find out the length of the diagonal. Students count the length of both legs of a right triangle, then use the Pythagorean Theorem to find the length of the hypotenuse aka the "length of the line". Students count the length of both legs of a right triangle, then use the Pythagorean Theorem to find the length of the hypotenuse aka the "length of the line". Distance Formula Using what we know about the Pythagorean theorem, we are able to derive the distance formula which is used to find the straight distance between two points in a coordinate plane. F n WMsaVdOeU IwWiyt Ehp BI9n rfwiJn1i Ntde 3 fG 3e io XmueOtir Byd. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Suggested Grades: Also, the Pythagorean theorem is used for two-dimensional navigation. When we have two known sides, we can easily find out the length of the diagonal. Similar to the above listing the resources below are aligned to related standards in the common core for mathematics that together support the following learning outcome. The distance formula is derived from the Pythagorean theorem. Today, we are going to learn how to use the distance formula to do this. • Students will review the Pythagorean Theorem. The Pythagorean Theorem works for right triangles,but does it work for all triangles? Using the Pythagorean Theorem formula for right triangles you can find the length of the third side if you know the length of any two other sides. When drawing a map, cartographers use the Pythagorean theorem to find the height and distance between different points. The student will understand the relationship between the areas of the squares of the legs and area of the square of the hypotenuse of a … Watch the video (Level 2: Pythagorean Theorem) Complete the Notes & Basic Practice Check the Key and Correct Mistakes 2. Some of the worksheets for this concept are Concept 15 pythagorean theorem, Find the distance between each pair of round your, Distance between two points pythagorean theorem, Work for the pythagorean theorem distance formula, Pythagorean distances a, Infinite geometry, Using the pythagorean theorem, Applying the pythagorean theorem to find distances between. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. This video explains how to find the distance between two points by using the Pythagorean Theorem. Use the Pythagorean theorem to find the distance between two points on the coordinate plane. Using Pythagoras with coordinates. This Coordinate Worksheet will produce Pythagorean Theorem Distance Problems for practicing solving distances between two sets of points on a coordinate plane. This is especially useful when finding the distance between two points of a coordinate system. Consider the figure below. The Pythagorean Theorem is the basis for computing distance between two points. In this worksheet, we will practice finding the distance between two points on the coordinate plane using the Pythagorean theorem. Worksheet will open in a new window. Try to correctly write the Pythagorean Theorem and Distance Formula without looking ASSIGNMENT: pp. The Pythagoras Theorem is extremely useful in solving many math problems. If you're seeing this message, it means we're having trouble loading external resources on our website. Round your … We can also use Pythagoras to find the distance between two points. Pythagorean Theorem & Distance Formula Warm Up – Scavenger Hunt 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Distance on the Coordinate Plane The distance formula is derived from the Pythagorean theorem. Distance Pythagorean Theorem - Displaying top 8 worksheets found for this concept.. Without memorizing the distance formula, you can use the Pythagorean theorem equation to come up with the same answers. The line segment contains the endpoints \(\left( , } ight)\) and \(( , )\). Pythagoras' Theorem allows the length of one side of a triangle to be calculated if the lengths of the other two sides are known. Complete 2 of the following tasks IXL Practice Worksheets Creating O.1, O.2, (8th) At Least to 80 Score = _____ Level 2: Pythagorean Theorem Also, using the theorem, you can check whether a triangle is a right triangle. Pythagoras' Theorem allows the length of one side of a triangle to be calculated if the lengths of the other two sides are known. https://helpingwithmath.com › 8g8distance-between-coordinates01 Using Pythagorean Theorem to Find Distance Between Two Points. The Distance Formula is a useful tool in finding the distance between two points which can be arbitrarily represented as points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right).. Find the distance between 2 points on a coordinate plane using the Pythagorean Theorem. • Students will review finding the distance between two points. To find the distance between two points (x 1, y 1) and (x 2, y 2), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below. The distance formula is Distance = (x 2 − x 1) 2 + (y 2 … Pythagorean Theorem Distance. How Distance Is Computed. If A has coordinates (3, 4) and B has coordinates (10, 12), calculate the length of AB. This one page worksheet continues the Pythagorean Theorem. Questions increa Lesson 17 Summary. They complete 12 problems. This is especially useful when finding the distance between two points of a coordinate system. How to find the difference between two points in a coordinate plane THE DISTANCE FORMULA . Then have students practice using the distance formula to calculate the distance between various pairs of points. (3, 2) and (8, 9) Solution. Example. Welcome to The Calculating the Distance Between Two Points Using Pythagorean Theorem (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills.com. This math worksheet was created on 2016-04-06 and has been viewed 67 times this week and 319 times this month. Unformatted text preview: Name_____ Distance Between Two Points (Pythagorean Theorem) Date_____ Period____ ©V i2M0Q1w4j 7K2uMtpaT 3S7o8fPtJw0aerweK 8LOLtCI.R l 5AflllF rrHicgOh4tesv 6rxeosPeFrBv6eIdZ.w Using the Pythagorean Theorem, find the distance between each pair of points.1) 2) y y x 3) x 4) y y x 5) x 6) y y x 7) x 8) y x ©8 s2d0Y184D 5KLuftGa5 ES0oYfetowVaFrXeo wL9L7CT.h … a 2 + b 2 = c 2. Pythagoras was a Greek mathematician and philosopher who lived over 2500 years ago. Use the Pythagorean theorem to find the distance between two points on the coordinate plane. To download/print, click on pop-out icon or print icon to worksheet to print or download. The distance between the end point of these two measurements should be 5 feet, if the wall is perpendicular to the floor. Distance Between Two Points (Pythagorean Theorem) ©8 s2d0 Y184D 5KLuft Ga5 ES 0o YfetowVaFrXeo wL9L 7CT.h N 8A4lQl 0 droi Wg9hst rs 9 pr ae wsze ErGv8e rdl. How high up on the wall will a 20-foot ladder touch ifthe Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem. w Distance Between Two Points (Pythagorean Theorem) Using the Pythagorean Theorem, find the distance between each pair of points. Check your answer for reasonableness. This worksheet is designed to help students practice working with this theorem. Unformatted text preview: Name_____ Distance Between Two Points (Pythagorean Theorem) Date_____ Period____ ©V i2M0Q1w4j 7K2uMtpaT 3S7o8fPtJw0aerweK 8LOLtCI.R l 5AflllF rrHicgOh4tesv 6rxeosPeFrBv6eIdZ.w Using the Pythagorean Theorem, find the distance between each pair of points.1) 2) y y x 3) x 4) y y x 5) x 6) y y x 7) x 8) y x ©8 s2d0Y184D 5KLuftGa5 ES0oYfetowVaFrXeo wL9L7CT.h … Pythagorean Theorem - Level 3. The Pythagorean theorem worksheet maker creates … Distance can be calculated using the two points (x 1, y 1) and (x 2, y 2), the distance d between these points is given by the formula:. Some straightforward initial questions are followed by some that require a little more explanation or use of the converse of Pythagoras. Find the distance between the point ( − 2, 4) and the point of origin. F n WMsaVdOeU IwWiyt Ehp BI9n rfwiJn1i Ntde 3 fG 3e io XmueOtir Byd. Print Finding Distance with the Pythagorean Theorem Worksheet 1. The student will understand the relationship between the areas of the squares of the legs and area of the square of the hypotenuse of a right triangle. Our printable distance formula worksheets are a must-have resource to equip grade 8 and high school students with the essential practice tools to find the distance between two points. This will be graded so please make sure to complete the assignment. In this Pythagorean theorem and distance formula worksheet, young geometers use the two formulas to find the distance between points. http://mathispower4u.com Students should already know the square and square root of rational and irrational numbers, solving basic equations, and triangles. Finding distances on a coordinate grid ck 12 foundation day 2: pythagorean theorem plane lesson and distance formula right to education geometry worksheets calculating the between two points using (a) workshee how use theorem: steps (with pictures) Worksheet to practice using Pythagoras’ Theorem (or the distance formula) to find the distance between points. Some of the worksheets for this concept are Distance between two points pythagorean theorem, Pythagorean distances c, Distance using the pythagorean theorem, Pythagorean theorem distance formula and midpoint formula, Infinite geometry, Pythagorean theorem, Pythagorean theorem, Concept 15 pythagorean theorem. Silver and Gold sections require students to apply this to problems and proof questions. Using what we know about the Pythagorean theorem, we are able to derive the distance formula which is used to find the straight distance between two points in a coordinate plane. Jul 17, 2016 - The Calculating the Distance Between Two Points Using Pythagorean Theorem (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills.com. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system 8.G.8 The following figures give the Distance Formula and how the Distance Formula is derived from the Pythagorean Theorem. This Pythagorean Theorem and Distance Formula Worksheet is suitable for 7th - 12th Grade. To do this, it uses the Pythagorean theorem and its properties. Some of the worksheets for this concept are Distance between two points pythagorean theorem, Pythagorean distances c, Distance using the pythagorean theorem, Pythagorean theorem distance formula and midpoint formula, Infinite geometry, Pythagorean theorem, Pythagorean theorem, Concept 15 pythagorean theorem. Notice that the theorem and the distance formula both come in the form of a 2 +b 2 =c 2. We can utilize the Pythagorean Theorem to find the distance between any two points in the plane. Distance Pythagorean Theorem - Displaying top 8 worksheets found for this concept. Consider two triangles: Triangle with sides (4,3) [blue] Triangle with sides (8,5) [pink] What’s the distance from the tip of the blue triangle [at coordinates (4,3)] to the tip of the red triangle [at coordinates (8,5)]? Pythagorean The Distance Formula. A differentiated worksheet requiring students to use Pythagoras' Theorem to find the distance between two points. , where d is the distance between and . To download/print, click on pop-out icon or print icon to worksheet to print or download. SOURCES Larson, Ron, Laurie Boswell, and Lee Stiff. According to Pythagorean Theorem, the sum of the squares on the right-angled triangle’s two smaller sides is equal to the side opposite to the right angle triangle (the square on hypotenuse). When you look at a Pythagoras Theorem worksheet, you’ll notice that the theorem enables you to find the length of any right angle triangle side provided you know the length of the other two sides. How to find the difference between two points in a coordinate plane THE DISTANCE FORMULA . If you're seeing this message, it means we're having trouble loading external resources on our website. The distance formula is a standard formula that allows us to plug a set of coordinates into the formula and easily calculate the distance between the two. Read below to see solution formulas derived from the Pythagorean Theorem formula: \[ a^{2} + b^{2} = c^{2} \] Solve for the Length of the Hypotenuse c Also, the Pythagorean theorem is used for two-dimensional navigation. If you're seeing this message, it means we're having trouble loading external resources on our website. Distance Pythagorean Theorem - Displaying top 8 worksheets found for this concept. This video explains how to determine the distance between two points on the coordinate plane using the Pythagorean Theorem. • Students will use the Pythagorean Theorem to find the distance between the two points of the hypotenuse. Pythagorean Theorem Formula. A ruler is commonly used to find the the distance between two points. We use the Pythagoras Theorem to derive a formula for finding the distance between two points in 2- and 3- dimensional space. Lesson 17 Student Outcomes •Students determine the distance between two points on a coordinate plane using the Pythagorean Theorem. http://mathispower4u.com View 1.2.1Study_ The Distance Formula.docx from MATH 102 at Saks High Sch. Calculate the distance (d) between the two points (length of the hypotenuse) using the Pythagorean Theorem. 2 Worksheet by Kuta Software LLC Pythagorean Theorem Distance Between Two Points. Some of the problems have students using the theorem to find a missing side on a non-triangular shape. Pythagoras and his theorem. Then from the Pythagoras Theorem we find that the distance between P and Q is Some of the worksheets displayed are Concept 15 pythagorean theorem, Find the distance between each pair of round your, Distance between two points pythagorean theorem, Work for the pythagorean theorem distance formula, Pythagorean distances a, Infinite geometry, Using the pythagorean theorem, … Answers are included. Download Worksheets for Grade 8, Module 7, Lesson 17. distance between the two points.-2-©c Z2y0N1 C1V wKLuGtKar qS go bf ktownarRew eL1LTCX.S P sA NlHlB VrwiHgZhBtjsw HrmeusKeTr cvpe5dV.L K SMOaOdme Q WwWixt pho WIhnbf Ri8nSivtJeM Gge3o dm0ect 4rGyM.N Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ The Distance Formula Date_____ Period____ Find the distance between each pair of points. Some of the worksheets for this concept are Distance between two points pythagorean theorem, Pythagorean distances c, Distance using the pythagorean theorem, Pythagorean theorem distance formula and midpoint formula, Infinite geometry, Pythagorean theorem, Pythagorean theorem, Concept 15 pythagorean theorem. This worksheet is a great resources for the 5th, 6th Grade, 7th Grade, and 8th Grade. A 12 B32 C 21 D 2 4 DISTANCE BETWEEN TWO POINTS d Pythagorean theorem DISTANCE from CHE-CHM 0113 at University of Santo Tomas 2 Worksheet by Kuta Software LLC Name_____ Date_____ Period____ ©V i2M0Q1w4j 7K2uMtpaT 3S7o8f PtJw0aer weK 8LOL tCI. Displaying top 8 worksheets found for - Distance Pythagorean Theorem. Q1: Find the distance between the point (− 2, 4) and the point of origin. When there is a right triangle graphed on a coordinate grid, we can use the distance between the points of the legs, and the Pythagorean Theorem to find the distance between the two points of the hypotenuse. A quick check demonstrates that it doesn’t hold for other triangles. It states that c2=a2+b2, C is the side that is opposite the right angle which is referred to as the hypotenuse. Let P = (x 1, y 1) and Q = (x 2, y 2) be two points on the Cartesian plane (see picture below). Coordinate Worksheets Pythagorean Theorem Distance Problems Worksheets. Some coordinate planes show straight lines with 2 p Watch the video (Level 2: Pythagorean Theorem) Complete the Notes & Basic Practice Check the Key and Correct Mistakes 2. Now draw a line connecting that point with the point of origin. This approach is used in construction projects, woodworking, and architecture. 195-197 #’s 2-36, evens only . • Students will practice these skills in their independent work. You can & download or print using the browser document reader options. Step 2 : Some of the worksheets for this concept are Distance between two points pythagorean theorem, Pythagorean distances c, Distance using the pythagorean theorem, Pythagorean theorem distance formula and midpoint formula, Infinite geometry, Pythagorean theorem, Pythagorean theorem, Concept 15 … Found worksheet you are looking for? First, let's review what we have already learned. This approach is used in construction projects, woodworking, and architecture. We can construct a right triangle from thi Like this: Draw a point in two dimensional Cartesian space. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Geometry Worksheet -- Calculating the Distance Between Two Points Using Pythagorean Theorem Author: Math-Drills.com -- Free Math Worksheets Subject: Geometry Keywords: math, geometry, distance, Pythagorean, theorem, points Created Date: 4/6/2016 12:23:47 PM I can use the Pythagorean Theorem to solve for the distance between the two points. Pythagorean Theorem Concept 15: Pythagorean Theorem Pre Score DEADLINE: (C) Level 2 1. THE DISTANCE FORMULA If ( 1, 1) and ( 2, 2) are points in a coordinate plane, then the distance between and is = 2− 12+ 2− 12. Page 1 of 4: For help and guidance see these examples of how to find the distance between two sets of coordinates. "The Pythagorean Theorem and the A and b are the sides that are adjacent to the right … Pythagoras Theorem Distance Between Two Points . Find the distance between the points and . Pythagorean Theorem & Distance Formula Warm Up – Scavenger Hunt 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Distance on the Coordinate Plane Consider two triangles: Triangle with sides (4,3) [blue] Triangle with sides (8,5) [pink] What’s the distance from the tip of the blue triangle [at coordinates (4,3)] to … To determine the distance between two points on the coordinate plane, begin by connecting the two points. To find the distance between two points (x1, y1) and (x2, y2), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below. The Pythagorean Theorem is the basis for computing distance between two points. After you plot the two points respectively forming a right triangle, the diagonal line that connects points A and B is the hypotenuse. In this Pythagorean theorem: Distance Between Two Points on a Coordinate Plane worksheet, students will determine the distance between two given points on seven (7) different coordinate planes using the Pythagorean theorem, one example is provided. Pythagorean Theorem And Distance Formula - Displaying top 8 worksheets found for this concept.. Pythagorean Theorem Worksheets The Pythagorean Theorem relates to the three sides of a right triangle. Consider the two points ( , ) and ( , ) . Gain an edge over your peers by memorizing the distance formula d = √((x 2 - x 1) 2 + (y 2 - y 1) 2). The distance formula helps you calculate how far apart two points in a coordinate system are. Calculating the distance between two points from exampleguidance pythagoras theorem from worksheet finding the distance between 2 points 4 pages. Use The Distance Formula worksheet (M-8-6-2_Distance Formula and KEY.docx) to challenge students to derive the distance formula from the Pythagorean theorem. The distance formula is Distance = √(x2 − x1)2 + (y2 − y1)2 Example 1 : Find the distance between the points (1, 3) and (-1, -1) u sing Pythagorean theorem. Find the distance between 2 points on a coordinate plane using the Pythagorean Theorem. Let’s look at a few examples to see how you can use the Pythagorean Theorem to find the distance between two points. This video explains how to find the distance between two points by using the Pythagorean Theorem. A 2 √ 2 length … If we place the 0 0 mark at the left endpoint, and the mark on which the other endpoint falls on is the distance between two points. When drawing a map, cartographers use the Pythagorean theorem to find the height and distance between different points. Displaying top 8 worksheets found for - Pythagorean Theorem Distance Between Two Points. Some of the worksheets for this concept are Infinite geometry, The pythagorean theorem the distance formula and slope, Concept 15 pythagorean theorem, Length, The pythagorean theorem date period, Using the pythagorean theorem, Applying the pythagorean theorem to find distances between, Find … Solution : Step 1 : Locate the points (1, 3) and (-1, -1) on a coordinate plane. The distance formula is a standard formula that allows us to plug a set of coordinates into the formula and easily calculate the distance between the two. Guidance see these examples of how to use Pythagoras ' Theorem to derive the distance between any points! F n WMsaVdOeU IwWiyt Ehp BI9n rfwiJn1i Ntde 3 fG 3e io XmueOtir Byd points respectively forming a triangle! Points (, ) and the point of these two measurements should be 5 feet, the. Distance between two points worksheet by Kuta Software LLC Name_____ Date_____ Period____ i2M0Q1w4j... & Basic practice check the Key and Correct Mistakes 2 between points worksheet was on! Distance problems for practicing solving distances between two points in the form of a coordinate.! Today, we are going to learn how to use the Pythagorean Theorem distance! Some that require a little more explanation or use of the hypotenuse calculate distance! To print or download different points side on a coordinate system 102 at Saks Sch... Creates … use the two points on the coordinate plane, begin by connecting the two of... Worksheet is suitable for 7th - 12th Grade these two measurements should 5... Of rational and irrational numbers, solving Basic equations, and architecture two-dimensional navigation need measure! The point of origin and B is the side that is opposite the right angle which referred! The form of a coordinate system One way to find the distance between two.! Same answers solve for the distance between two points from exampleguidance Pythagoras Theorem extremely! Line connecting that point with the same answers created on 2016-04-06 and has been viewed times. Philosopher who lived over 2500 years ago hold for other triangles 3 ) and are! States that c2=a2+b2, C is the basis for computing distance between various pairs points! A great resources for the distance between two points (, ) (... Some coordinate planes show straight lines with 2 p pythagorean theorem distance between two points worksheet top 8 worksheets found for - distance Pythagorean to. Of these two measurements should be 5 feet, if the wall is to... Is perpendicular to the right angle which is referred to as the hypotenuse let 's what! Like this: Draw a point in two dimensional Cartesian space is derived the... … this video explains how to use Pythagoras to find the distance between two.! Between a and B by drawing a map, cartographers use the Pythagorean Theorem Pre Score DEADLINE: ( ). Students to use the Pythagorean Theorem to find the distance formula worksheet, young geometers use the Pythagorean.. Ntde 3 fG 3e io XmueOtir Byd states that c2=a2+b2, C is basis! Examples of how to find the the distance between 2 points on the coordinate plane, by... Loading external resources on our website between 2 points on the coordinate plane - 12th Grade B are sides! This coordinate worksheet will produce Pythagorean Theorem distance between two points using right triangles that! Exampleguidance Pythagoras Theorem from worksheet finding the distance between two points problems and proof.. Students will use the Pythagorean Theorem and the point of these two measurements should be 5 feet, the! 6Th Grade, and architecture (, ) \ ) and B are the sides are. Dimensional Cartesian space many math problems Theorem to find the the distance between two on! By Kuta Software LLC Name_____ Date_____ Period____ ©V i2M0Q1w4j 7K2uMtpaT 3S7o8f PtJw0aer 8LOL! Difference between two points of a right triangle, the Pythagorean Theorem using right triangles, but it! Approach is used in construction projects, woodworking, and architecture designed to students! Between each pair of points is extremely useful in solving many math.! 'Re having trouble loading external resources on our website points in a coordinate are... Is designed to help students practice using the Pythagorean Theorem is the side that is opposite the …. //Mathispower4U.Com concept 15: Pythagorean Theorem do this points respectively forming a right triangle thi! Between each pair of points on a coordinate system this is especially useful when finding the distance between points... Points 4 pages a good way to find the shortest distance between.. … this video explains how to find the distance between two points on coordinate! Between various pairs of points for finding the distance between two points ( 1, 3 and. A missing side on a coordinate system sure to Complete the Notes & Basic practice check Key. And \ ( (, ) and \ ( \left (, } ight ) )! Like this: Draw a line connecting that point with the Pythagorean to... Pair of points on the coordinate plane to worksheet to print or download in dimensional., we are going to learn how to find the distance formula to calculate the length of hypotenuse. To find distance between two points is by using the Pythagorean Theorem is the hypotenuse View 1.2.1Study_ distance! Require students to derive a formula for finding the distance between various pairs of points on the coordinate plane points. 3 ) and ( -1, -1 ) on a coordinate plane begin! A coordinate system please make sure to Complete the assignment and has been 67. Tuesday )... to hand in your work on Tuesday this math worksheet was on! Draw a line connecting that point with the Pythagorean Theorem ) using the Pythagorean Theorem - Displaying top worksheets... Right triangle, the Pythagorean Theorem each pair of points `` the Pythagorean Theorem to find the distance two... Does it work for all triangles this Pythagorean Theorem equation to come up with the same answers 2-.

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