Find the missing lengths of the sides.

Given:

The figure of a right angle triangle.

Hypotenuse = in.

To find:

The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is in.

Using Pythagoras theorem, we get

Divide both sides by 2.

Taking square root on both sides.

Side cannot be negative. So,

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

x = 3 ± √(5+y)