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Math Help - Proving Pythagorean theorem

  1. #1
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    Proving Pythagorean theorem

    Good day! Im a noob in math so i just want to ask this simple question. I know that Pythagorean theorem is the sum of the areas of 2 squares on the legs equals to the area of the square on the hypotenuse. My question is; why did they refer to a square to prove the a theorem that is being used into a triangle? thanks in advance.
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  2. #2
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    Pythagoras' states: c^2 = a^2 + b^2. If we want to obtain the hypotenuse, c, we need to take squares on both sides. It's just inherent in the definition of the hypotenuse:

    c = \sqrt{a^2 + b^2}
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    Quote Originally Posted by imuthis View Post
    Good day! Im a noob in math so i just want to ask this simple question. I know that Pythagorean theorem is the sum of the areas of 2 squares on the legs equals to the area of the square on the hypotenuse. My question is; why did they refer to a square to prove the a theorem that is being used into a triangle? thanks in advance.
    You can find several proofs of the theorem here:

    Pythagorean theorem - Wikipedia, the free encyclopedia

    (My personal favorite is the one titled "Algebraic Proof".)
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  4. #4
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    I read all about that in wikipedia and even watch videos in you tube but i dont get it, why they are trying to prove an equation for a triangle using a square.
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  5. #5
    Member rowe's Avatar
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    Quote Originally Posted by imuthis View Post
    I read all about that in wikipedia and even watch videos in you tube but i dont get it, why they are trying to prove an equation for a triangle using a square.
    We don't have to use this method of proof, as awkward has pointed out, there are many proofs of the theorem. It just so happens that the proof you mention is a popular and simple one. If you still want to worry about it, think about how a right-angled triangle relates to a rectangle/square. Could a square be built out of triangles, and vice-versa?
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  6. #6
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    Thanks masters you really point me to the right direction! Ill just have to work on this a liitle bit more to prove the relationship. Thanks again!
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