Write down the expression for the perimeter of the triangle ABC, if AB = a cm, AC is 2 times larger, and BC

Write down the expression for the perimeter of the triangle ABC, if AB = a cm, AC is 2 times larger, and BC is 15 cm larger than ABC, make an equation and find the sides of the triangle

The perimeter of a triangle P is equal to the sum of all its three sides, that is, for a triangle ABC P = AB + BC + AC. If the side AB = a cm, then AC, which is 2 times larger, is equal to a / 2 cm, then BC, which is 15 cm more than AB, is a + 15 cm.Thus, the expression for calculating the perimeter of the triangle ABC is:

P = a + a / 2 + a + 15 = 2.5a + 15.

You can express each side of a triangle through its perimeter:

AB = a = P / 2.5 – 6;

AC = a / 2 = P / 5 – 3;

BC = a + 15 = (P – 15) / 2.5 + 15 = P / 2.5 + 9 (cm).