# In an isosceles triangle, the base is twice the size of the lateral side, and the perimeter is 50 cm. Find the sides of the triangle.

October 8, 2021 | education

| Let the side of an isosceles triangle be a, then the base will be (a / 2).

By condition, the perimeter is:

P = a + b + c = a / 2 + a + a = 5 * a / 2 = 50 cm, from where we find the side:

5 * a = 100,

a = 20.

The base is (a / 2) = 20/2 = 10.

Answer: the sides of the triangle are 20 cm, 20 cm, 10 cm.

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