A triangle has a perimeter of 41 inches. The medium side is 5 more than the short side, and the longest side is 4 times the length of the shortest side. Find the shortest side.

Question

A triangle has a perimeter of  inches. The medium side is  more than the short side, and the longest side is  times the length of the shortest side. Find the shortest side.

Answer 1

m = 5+s

L =4s

s+m+L = 41

s + 5+s + 4s = 41

6s = 36

s = 36/6 = 6 = shortest side

m = 5+s = 11 = middle sized side

L = 4s = 24 = Longest side

6+11+24 = 41= Perimeter of the triangle