# The perimeter of an isosceles triangle is 44 cm. Its lateral is 4 cm larger than the base.

September 24, 2021 | education

| **The perimeter of an isosceles triangle is 44 cm. Its lateral is 4 cm larger than the base. Calculate the lengths of the sides of the triangle.**

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

2. According to the condition of the problem, AB is larger than AC by 4 centimeters. Therefore, AC = AB – 4.

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

AC + AB + BC = 44 centimeters.

BC = AB, since the triangle is isosceles.

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

AB – 4 + 2AB = 44.

3AB = 48.

AB = 48: 3 = 16 centimeters.

AC = 16 – 4 = 12 centimeters.

Answer: AC = 12 centimeters, AB = BC = 16 centimeters.

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