Problema Solution

One side of triangle is half the longest side. The third side is 8 feet less than the longest side. The perimeter is 72. Find all three sides.

Answer provided by our tutors

let


a = the longest side of the triangle


(1/2)a = other side of the triangle


a - 8 = the third side of the triangle


the perimeter is 72 ft thus


a + (1/2)a + (a - 8) = 72


by solving we find


a = 32 ft


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(1/2)*32 = 16 ft


32 - 8 = 24 ft


the sides of the triangle are 32 ft, 16 ft and 24 ft.