Find the sides of an isosceles triangle if its perimeter is 100 cm and the base is 1: 2 to the side.

univerkov | April 28, 2021 | education

1. A, B, C – the vertices of the triangle. P is the perimeter.

2. According to the condition of the problem AS: BC = 1: 2. AC = BC / 2.

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

P = AC + BC + AB = 100 cm.

BC = AB, since the triangle is isosceles.

4. Substitute in the original expression BC instead of AB and BC / 2 instead of AC:

ВС / 2 + 2ВС = 100 cm.

5BC = 200 cm.

BC = 40 cm.

AC = 40: 2 = 20 cm.

Answer: AC = 20 cm, BC = AB = 40 cm.

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