Question

The ratio of the measures of the sides of a triangle is 2:11:15. If the perimeter of the triangle is 168 inches, find the length of the longest side.

Answer 1

Answer: 90

Explanation:

Let the sides have lengths 2n, 11n, and 15n.

Since the perimeter is 168, 2n+11n+15n=168, meaning that n=6.

So, the longest side is 15(6)=90 inches.