# Finding the length of two sides of a right triangle given only the area

Leg $XY$ of the right triangle is twice as long as leg $YZ.$ If the area of the triangle is $36cm^2$, what is the length, in cm, of leg $XY?$

I figured the answer out by applying $A= \dfrac{1}{2} (b \times h)$. $36 = \dfrac{1}{2} (b x h).$ Knowing that one leg is twice the length of the other leg, I just used $12$ and $6$ as I knew when multiplied it equals $72$ (before being multiplied by $1/2$). What is the correct formula for finding the answer to this problem? Thanks!

-

As you said $\frac{1}{2} * b * h$

$\frac{1}{2} * b * 2b = 36$

$b^2 = 36$

$b =6$

This implies $h = 12$ as $h = 2b$

-
Thank you, Harish! I knew I was missing something! –  dinoly333 Jul 29 '13 at 15:19
Ya If you feel that your doubt is allayed ,accept the answer . –  Harish Kayarohanam Jul 29 '13 at 15:20