Question

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 4. The perimeter of the triangle is 52. Find x.

X=

Answer 1

x = 12

Explanation:

Since the triangle is isosceles then the legs are congruent.

Sum the 3 sides and equate to 52, that is

2x - 4 + 2x - 4 + x = 52

5x - 8 = 52 ( add 8 to both sides )

5x = 60 ( divide both sides by 5 )

x = 12