Question

The length of the base of an isosceles triangle is x. The length of a leg is 3x-2. The perimeter of the triangle is 52 . Find x.

Answer 1

Explanation:

an isoceles triangle means that both legs are equally long.

the perimeter of a triangle is the sum of all 3 sides (the way to walk around the whole triangle).

the baseline is x long.

both legs are 3x - 2 long.

the perimeter

52 = x + 2×(3x - 2) = x + 6x - 4 = 7x - 4

56 = 7x

x = 8