The longest side of a trangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The longest side of a trangle is 3 times the shortest side and the thi

1.	The longest side of a trangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
Answer» Let the minimum length of the shortest side be x cm. Then, the longest side `=3x cm` and the third side `=(3x -2)` cm. `therefore x +3x +(3x-2)ge 61 rArr 7x ge 63 rArr x ge 9`. Hence, the minimum length of the shortest side is 9 cm.