The perimeter of triangle ABC is 62cm, side BC is 17cm. AB is equal to CA. what is the length of side AB?

1. The perimeter of a triangle will be equal to the sum of the lengths of its sides AB, BC and CA.

P = AB + BC + CA.

2. Since according to the condition of the problem, the perimeter of the triangle is 62 cm, the length of the BC side is 17 cm, and the AB side = to the CA side, therefore, substituting the data we have in the formula, we get:

62 = AB + 17 + CA, and since AB = CA we get:

62 = 2 * AB + 17;

62 – 17 = 2 * AB;

45 = 2 * AB;

AB = 45/2;

AB = 22.5 cm.

Answer: Side AB = 22.5 cm.