One side of a triangle is half the longest side. The third side is 11 feet less than the longest side. The perimeter is 54. Find all three sides

Answer 1

L=2S

S=L/2

L=T-11

T=L+11

L+S+T = 54

L + L/2 +L-11 = 54

(5/2)L = 65

L = (2/5)65 =26 = longest side

S = 13 = shorter side

T =15= third side

Answer 2

x = longest side

x/2 = one side

x - 11 = 3rd side

perimeter = x + x/2 + x-11 = 54

(multiply both sides by 2 to clear denominator)

2x + x + 2x - 22 = 108

5x - 22 = 108

5x = 130

x = 26

x/2 = 13

x - 11 = 15