Question

A forest clearing is in the shape of an isosceles triangle with a base of 75 feet. The perimeter of the forest clearing is 235 feet. How long is each of the equal sides of the forest clearing?

Answer 1

The length of each of the equal sides of an isosceles triangle are 80.

Step-by-step explanation:

Given that the forest clearing is in the shape of an isosceles triangle with a base of 75 feet.

The perimeter of the forest clearing is 235 feet.

We need to determine the length of each of the two equal sides.

Length of the two sides.

Let x denote the length of each of the equal sides.

The value of x can be determined using the perimeter formula.

Perimeter of the triangle = Sum of all the three sides of the triangle.

Thus, we have;

`235=75+x+x`

`235=75+2x`

`160=2x`

`80=x`

Thus, the value of x is 80.

Hence, the length of each of the equal sides of an isosceles triangle are 80.