Question

The two legs of a right triangle are equal and the square of its hypotenuse is $50cm$. Find the length of each leg.

Answer 1

Since the length of the two legs of the right triangle are equal, say they are $acm$ and $acm$.
By Pythagoras theorem:
$a^2+a^2=50$
$\Rightarrow 2a^2=50$
$\Rightarrow a^2=25$
$\Rightarrow a=\sqrt{25}$
$\therefore a=5$
Hence, the length of each leg is $5cm$.