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.

## Answer This Question

## Related Questions

- math - (please explain with brief explanation) The sides of an equilateral ...
- maths-urgently needed - In right angled triangle ABC angle B=90 degree and AB= ...
- math - The sides of a right angled triangle are x,x+1 and x+2.find x,Am not ...
- Geometry - 1. The sides of a triangle have lenghts x, x+4, and 20. Specify those...
- Maths - Reena draws a triangle with its sides are 3 cm and 5 cm. Is the triangle...
- mathematics - in triangle abc if acosA= bcosB then how to prove the triangle is ...
- maths- - Find the area of triangle . in a right-angled triangle, the length of ...
- Algebra 2 - The lenths of the side of a triangle are x+4 units, x units, and x+1...
- math - The coordinates of (triangle) ABC are A(-3,-1 ) , B( 5,1 ) and C (2,4) (i...
- math - Let P and Q be the points on the sides AB and BC of a triangle ABC ...

More Related Questions