Question

The perimeter of an equilateral triangle is 83 inches. If the length of each side is (2x -3), find the value of x.

Answer 1

`x = 15 (1)/(3)`

Explanation:

Equilateral triangles have 3 equal sides.

Thus, perimeter of triangle

= 3(2x -3)

= 3(2x) +3(-3) (expand)

= (6x -9) inches

Given that the perimeter is 83 inches,

6x -9= 83

6x= 83 +9 (+9 on both sides)

6x= 92

`x = 15 (1)/(3)`