Posted by **Alexander** on Thursday, July 11, 2013 at 5:46pm.

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..! -
**Reiny**, Friday, July 12, 2013 at 12:25am
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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