The perimeter of triangle ABC is 14.3. AC is 1.5 times more than BC and AC is 13cm less than AB. Find sides of ABC.

1. Let BC be equal to a, then AC is equal to 1.5a, and AB is equal to 1.5a + 13. Adding all the sides, we get the perimeter of the triangle. Let’s solve the equation:

a + 1.5a + 1.5a + 13 = 14.3,

4a = 14.3 – 13,

4a = 1.3,

a = 1.3 / 4,

a = 0.325.

2. Let’s find other sides:

AC = 1.5 * 0.325 = 0.4875.

AB = 0.4875 + 13 = 13.4875.

Answer: AB = 13.4875, BC = 0.325, AC = 0.4875.