Question

Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first triangle is 8 cm^2?

Answer 1

50 cm^2

Explanation:

The ratio of areas is the square of the ratio of sides, so is (5/2)^2 = 25/4. Multiplying the smaller area by this factor will give the area of the larger triangle:

(8 cm^2) · 25/4 = 50 cm^2