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Maths(help me plz..!

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The sides of a triangle are of lenths x*-y*, x*+y* and 2xy units respectively. Prove that the triangle is a right angled triangle

  • Maths(help me plz..! -

    You must mean:
    sides are x^2 - y^2 , x^2 + y^2 , and 2xy

    assume x^2+y^2 is the hypotenuse

    then
    (x^2-y^2)^2 + (2xy)^2 = (x^2+y^2)^2
    LS = x^4 - 2x^2y^2 + y^4 + 4x^2y^2
    = x^4 + 2x^2y^2 + y^4

    RS = x^4 + 2x^2y^2 + y^4
    = LS

    Q.E.D.

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