Question

a triangle is made up of sides with lengths that are consecutive odd integers. the perimeter of the triangle is 27 feet. what is the length of the longest side?

Answer 1

11 feet

Explanation:

You want the length of the longest side of a triangle when the perimeter is 27 feet and the side lengths are consecutive odd integers.

Average

The middle of three consecutive odd integers is their average. The average is their sum divided by 3, so is (27 ft)/3 = 9 ft.

Then the side lengths are 7 ft, 9 ft, 11 ft.

The longest side is 11 feet long.

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Additional comment

The perimeter is the sum of the side lengths.