Question

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.

Answer 1

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

I hope it works for you