# The perimeter of an isosceles triangle is 50 cm and one of its sides is 13 cm smaller than the other

August 28, 2021 | education

| **The perimeter of an isosceles triangle is 50 cm and one of its sides is 13 cm smaller than the other, find the sides of the triangle.**

1. A, B, C – the vertices of the triangle.

2. According to the condition of the problem, the AC is less than AB by 13 centimeters. Therefore, AC = AB – 13.

3. Further calculations are performed using the formula for calculating the perimeter of a triangle:

AC + AB + BC = 50 centimeters.

BC = AB, since the triangle is isosceles.

4. Substitute in the original formula AB instead of BC and (AB – 13) instead of AC:

AB – 13 + 2AB = 50.

3AB = 63.

AB = 63: 3 = 21 centimeters

AC = 21 – 13 = 8 centimeters.

Answer: AC = 8 centimeters, AB = BC = 21 centimeters.

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