Question

Triangle def is equilateral. If the perimeter of def is 36, the length of de is 5x-8, then what is the value of x

Answer 1

4

Explanation:

All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s

s is one of the side length

Given DE = 5x - 8

P = 3DE

P = 3(5x-8)

36 = 3(5x-8)

36/3 = 5x-8

12 = 5x - 8

5x = 12+9

5x = 20

x = 20/4

x = 4

Hence the value of x is 4