In an isosceles triangle ABC, the base is 3 times smaller than the lateral side, and P = 98 cm.

univerkov | September 10, 2021 | education

In an isosceles triangle ABC, the base is 3 times smaller than the lateral side, and P = 98 cm. Find the lengths of the sides of the triangle.

Let the length of the base AC = X cm, then, by condition, the length of the sides AB and BC is 3 * X cm.

The perimeter of the triangle is: Ravs = (AB + BC + AC) = (3 * X + 3 * X + X) = 98 cm.

7 * X = 98 cm.

X = AC = 98/7 = 14 cm.

Then AB = BC = 14 * 3 = 42 cm.

Answer: The lengths of the sides of the triangle are 42 cm, 42 cm, 14 cm.

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