Triangles ABC and A1B1C1 are similar, and their similar sides are related as 3: 5.

univerkov | February 6, 2021 | education

Triangles ABC and A1B1C1 are similar, and their similar sides are related as 3: 5. The perimeter of triangle ABC is 12 cm less than the perimeter of triangle A1B1C1. Find the perimeter of triangle ABC.

The ratio of the perimeters of similar triangles is equal to the coefficient of similarity of these triangles.

Ravs / Pa1v1s1 = 3/5.

Let the perimeter of the triangle ABC be equal to X cm, then, by condition, the perimeter of the triangle A1B1C1 is (X +12) cm.

Then: X / (X + 12) = 3/5.

5 * X = 3 * (X + 12).

2 * X = 36.

X = 36/2 = 18 cm.

Answer: The perimeter of triangle ABC is 18 cm.

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