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

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

Let side AB be x, then side BC will be 2x, and side AC will be x + 4. The perimeter of a triangle, like any geometric figure, is found as the sum of all its sides. Let’s write expressions for the perimeter of this triangle:

x + 2x + x + 4 = 44.

Let’s solve this equation:

4x + 4 = 44;

4x = 40;

x = 10 cm side length AB.

Let’s find the rest of the sides of the triangle:

BC = 2x = 2 * 10 = 20 cm;

AC = x + 4 = 10 + 4 = 14 cm.

Answer: side length AB 10 cm, BC = 20 cm, AC = 14 cm