Question

A certain triangle has longest side three times it’s shortest side, the middle side is three less than the longest side. The perimeter of the triangle is 32 cm. What is the length of the shortest side?

Answer 1

let the short side = x

Long side = 3x

Middle side = 3x -3

x + 3x + 3x -3 = 32

Simplify:

7x -3 = 32

Add 3 to both sides:

7x = 25

Divide both sides by 7:

X = 5

answer: shortest side = 5cm