Question

An isosceles triangle has two sides that are twice as long as the third side. If the perimeter is 60, what is the length of each side of the triangle?

Answer 1

Since we have two sides that are twice as long as the third side, we can designate each side as follows:

First side of triangle: 2x
Second side of triangle: 2x
Third side of triangle: x

Since all three sides add up to equal 60, we can set up the following equation and solve for each side:

(x) + (2x) + (2x) = 60
5x = 60 --> x = 12

Side 1 length: 2x = 2(12) = 24
Side 2 length: 2x = 2(12) = 24
Side 3 length: x = 12
I hope this helps!!