The perimeter of triangle ABC is 15.5 cm. Side AB is 1.5 times the size of side BC.

The perimeter of triangle ABC is 15.5 cm. Side AB is 1.5 times the size of side BC. The AC side makes up 60% of the AC side. Find the sides of the triangle.

Answer: AC = 3 cm; BC = 5 cm; AB = 7.5 cm.
Explanation of the solution to the problem: in order to solve this problem, it is necessary to draw up an equation:
let side BC = x, then
since the AB side is 1.5 times larger than the BC side, then the AB side = 1.5x;
since the AC side is 60% of the BC side, the AC side = 0.6x.
Since the perimeter of a triangle is the sum of all its sides, we get the following:
x + 1.5x + 0.6x = 15.5
We solve the equation:
3.1x = 15.5;
x = 5 cm – BC.
1.5x = 1.5 * 5 = 7.5 cm – AB.
0.6x = 0.6 * 5 = 3 cm – AC