One side of a triangle is one-fourth the longest side. The third side is 8 feet less than the longest side. The perimeter is
118. Find all three sides.

The sides have lengths of , , and feet.

Step-by-step explanation:

Let's call A the longest side. The others triangle sides are B and C.

We know that B = (1/4)*A  and C = A - 8

The triangle's perimeter is: A + B + C = 118

Substituting the values of sides B and C, we have:

A + (1/4)A + (A-8) = 118

Adding common terms:   (2 + 1/4)A = 118 + 8

                                     (9/4)A = 126    then,  A = 56 feet

                                     B = (1/4)A = 14 ft

                                     C = A - 8 = 48 feet

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step-by-step explanation:

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