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Math Help - pythagorean theorem

  1. #1
    Junior Member
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    pythagorean theorem

    My question :

    Give another proof of the pythagorean theorem by using the equations : a/c = e/a and b/c = d/b obtained from similar trigangles in some figure. (the figure is a triangle with sides abc. there is a line down the middle making it into 2 right triangles. B and A are the hypotenuse's. c is split into 2 sides D and E making C = D+E)


    Honestly I dont know where to start.
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  2. #2
    Senior Member BAdhi's Avatar
    Joined
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    Gampaha, Sri Lanka
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    given data shows us that triangle with sides a,b,c is a right triangle.(because you've stated "similar triangles")

    alter your given equations

    a^2=ce
    b^2=cd

    use these equations to show a^2+b^2=c^2

    which finally provides us to conclude for any right triangle, the proved equation is true.
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