The perimeter of triangle ABC is 44cm. Side AB is half the size of side BC

The perimeter of triangle ABC is 44cm. Side AB is half the size of side BC and 4cm smaller than side AC. Find the lengths of all sides of the triangle.

1) Let side AB have a length equal to x cm. The length of the other side, if it is known that it is twice as large, will be 2x. Then the side of the speaker, which is 4 cm larger, will be equal to (x + 4) cm.Since the perimeter is 44 cm, then the following equality is true:

x + 2x + (x + 4) = 44,

4x + 4 = 44,

4x = 40,

x = 10.

Thus, side AB is 10 cm long.

2) 10 * 2 = 20 (cm) – the length of the BC side.

3) 10 + 4 = 14 (cm) – the length of the speaker.

Answer: the length of the side of the triangle AB is 10 cm, BC is 20 cm, AC is 14 cm.