# Thread: right triangle with given hypotenuse help!

1. ## right triangle with given hypotenuse help!

A right triangle with a hypotenuse 10 cm long is to have an area of 15 sq. cm. what should be the lengths of the legs?

2. If x & y represent the lengths of the legs then you know that:
$$\frac{{xy}}{2} = 15\;\& \;x^2 + y^2 = 100$$.
Solve for x & y.

3. Originally Posted by Plato
If x & y represent the lengths of the legs then you know that:
$$\frac{{xy}}{2} = 15\;\& \;x^2 + y^2 = 100$$.
Solve for x & y.
ok, i just have a question on solving for x and y. which x do i solve for, the one in the first equation? and then where should i plug it in?