The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter then the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
Let x, 3x, 3x – 2 be the sides of a triangle
Given: x + 3x + 3x – 2 ≥ 61
7x ≥ 63
x ≥ 9.
∴ Minimum length of shortest side = 9 cm.
∴ Other sides are 27 and 25.