Question

The two sides of a right angled triangle are equal and the hypotenuse is $30$. Find the length of each side.

Answer 1

Given hypotenuse$=30$

Let the equal sides be $x$

by Pythagoras theorem

$x^2+x^2=(30{)}^2$

$2x^2=30\times 30$

$x^2=15\times 30$

$x=\sqrt{450}$

$x=15\sqrt{2}$.