The lenght of each side is 24cm, 24cm, and 8cm.
In order to solve this problem, we know that the perimeter of a triangle equation is P = a + b + c, where a, b, and c are the sides of the triangle.
The perimeter is 56cm, we can write the equation as follow:
a + b + c = 56cm (1)
If each of the two longer sides of the triangles is three times as long as the shortest side, we can assume:
c = shortest side = x
a = b = longer sides = 3x
Substituting the values in the equation (1):
3x + 3x + x = 56cm
7x = 56cm
x = 56cm/7 = 8cm
c = shortest side = 8cm
a = b = longer sides = 3(8cm) = 24cm
