Question

The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.

X

Answer 1

Answer: x = 6

Step-by-step Explanation:

The legs are both the same so 2(5x - 3) accounts for both. Then add x and simplify.

10x - 6 + x

11x - 6

Set equal to 60

11x - 6 = 60

11x = 66

x = 6

Answer 2

Answer: x = 6

Explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

60 = 10x - 6 + x

60 + 6 = 11x

6 = x