One side of a triangle is one-fourth the longest side. The third side is 10 feet less than the longest side. The perimeter is 134 . Find all three sides.

Question

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

Answer 1

9c/4 = 144

c = 4(144)/9 = 4(16) = 64 feet

a = 64/4 = 16 feet

b = 54 feet

or if you mis-copied the problem and used 34 instead of 134, then

you get fractional answers, big clues you mis-copied the problem too

a = c/4

b = c-10

a+b+c = 34

c/4 + c-10 +c = 34

9c/4 = 44

9c = 176

c = 19 5/9 ft = 19 feet 6 2/3 inches

b= 9 5/9 ft = 9 feet 6 2/3 inches

a= 4 8/9 ft = 4 feet 10 2/3 inches

a lot afoot, great feat to calculate the feet