Question

A triangle has a perimeter of 91 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.

Answer 1

9514 1404 393

Answer:

13 cm, 39 cm, 39 cm

Explanation:

If x is the short side, then the other two sides are 3x and 3x. The perimeter is the sum of side lengths:

x +3x +3x = 91

x = 91/7 = 13

3x = 3(13) = 39

The length of the short side is 13 cm; the other two sides are 39 cm.