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Another shape other than a square that can be used to show the relationship of the Pythagorean theorem is a diamond, because a diamond has a right triangle within it.

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https://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0ahUKEwjoq82w7IPRAhXIYiYKHVAOAeoQjRwIBw&url=http%3A%2F%2Fwww.ageofautism.com%2F2016%2F01%2Fstephen-hawking-says-the-human-race-is-in-danger-and-its-our-own-fault.html&bvm=bv.142059868,d.eWE&psig=AFQjCNGxl58bilzylptkbTMUDrU3wbKceA&ust=1482360117074650
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The proof of the Pythagorean Theorem proves it because it shows that the length of each of the sides of the triangle squared is equal to the area of each square on each side of the triangle and when you add up all of the squares you end up with what the hypotenuse squared would be. It shows that a^+b^2=c^2 because when you add up the leg squares you get the hypotenuse.The proof also shows if the triangle is a right triangle or not because if the leg squares add up and equal the hypotenuse square then it is a right triangle.

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A Real Life Problem Where the Pythagorean Theorem is Used to find the Missing Hypotenuse

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A Real Life Problem Where the Pythagorean Theorem is Used to find the Missing Hypotenuse

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Question: Lauren and Emily buy a T.V. for their Dorm Room. The width of the T.V. is 20in. and the length of the T.V. is 30in. They want to know what the diagonal length of the T.V. is. What is the diagonal length of the T.V.?
Answer: The diagonal length of the T.V. is 36.1in. or the square root of 1300.

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A real life problem where the Pythagorean theorem is used to find a missing leg 

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A real life problem where the Pythagorean theorem is used to find a missing leg 

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Question: Emily and Emma by a T.V. for there new Dorm Room. The length is 24in. and the diagonal length is 60in. They want to know what the width of the T.V. is. What is the width of the T.V.?
Answer: The width of Emma and Emily's T.V. is 54.9in.

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It is a fundamental relation among the 3 sides of a right triangle. It states that the square of  the hypotenuse is equal to the sum of the other 2 sides and it uses the equation a^2+b^2=c^2 and it can be used to find the hypotenuse and the legs of a right triangle.

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IXL | Pythagorean theorem: find the length of the hypotenuse | 8th grade math

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Improve your math knowledge with free questions in "Pythagorean theorem: find the length of the hypotenuse" and thousands of other math skills.

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A modern day Pythagoras is Stephen Hawking. He created a mathematical proof for black holes. He proved Einsteins theory of general relativity, he redefined the Big Bang Theory, and he proved that the universe had no boundaries.