A triangle has a perimeter of 126 centimeters. The 2 longer sides are 3 times as long as the shortest side. Find the length of each side.

The shorter side of the triangle is 18 cm and each of the longer sides are 54 cmSolution:Given that triangle has perimeter of 126 cmLet the length of the shorter side of the triangle be "a"The 2 longer sides are 3 times as long as the shortest sideSo length of 2 longer sides = 3(length of the shorter side)length of 2 longer sides = 3aThe perimeter of triangle is given as:perimeter of triangle = length of the shorter side + length of 2 longer sidesperimeter of triangle = a + 3a + 3a126 = a + 3a + 3a7a = 126a = 18So length of shorter side = 18 cmlength of 2 longer sides are each = 3a = 3(18) = 54 cmThus, the shorter side of the triangle is 18 cm and each of the longer sides is 54 cm