Geometric Proof of Phythagorean Theorem?

Could you guys please help me with coming up with 1 geometric proof of the Pythagorean Theorem along with a brief explanation of it? Thank you so much :)

5 Answers

  • sepia
    Lv 7
    8 years ago
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  • 8 years ago

    We start with a right triangle with sides a, b, and c. We then build a big square, out of four copies of our triangle. We end up with a square, in the middle, with sides c (we can easily show that this is a square).

    We now construct a second big square, with identical triangles which are arranged as in the lower part of the diagram. This square has the same area as the square above it.

    We now sum up the parts of the two big squares:

    Area=2ab + c²

    Area=2ab + a² + b²

    These two areas are equal:

    2ab + c²=2ab + a² + b²

    c²=a² + b²

    Source(s): School
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  • 8 years ago

    agree with the above answer

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  • 8 years ago

    you can see all the proofs w/ description here---->

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  • 8 years ago
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