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.
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Answer: 90
Step-by-step 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.