Question

A right triangle has an area of 50 square inches. Part 1 out of 2 If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle?

Answer 1

The lengths of the legs of the triangle are 10 inches.

Explanation:

The lengths of the legs (l) can be found from the area:

`A = (bh)/(2)`

Where:

A: is the area = 50 in²

b: is the base

h: is the height

Since the right triangle is isosceles, the base and the height are the same. The height and the base are the legs (l).

`b = h = l`

Then the lengths of the legs are:

`A = (l^(2))/(2)`

`l = √(2A) = √(2*50) = 10 in`

Hence, the lengths of the legs of the triangle are 10 inches.

I hope it helps you!