one side of a triangle is 5 inches shorter than the second side which is 3 inches shorter than the longest side. If the premiter of the triangele is 31 inches, how long is the shortest sde.

Question

one side of a triangle is 5 inches shorter than the second side which is 3 inches shorter than the longest side. If the perimeter of the triangle is 31 inches, how long is the shortest side.

Answer 1

L+ L-3 + L-5-3 = 3L - 11 = 31

3L = 31+11 = 42

3L=42

L = 42/3 = 14 inches = longest triangle side

L-3 = 11 inches

L-8 = 6 inches = shortest triangle side

14+11+6 = 31 inches