Question

The ratio of similarity of triangle A to triangle B is 2 : 5. If triangle B has an area equal to 50 cm^2, find the area of triangle A.

Answer 1

Answer:

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Answer 2

The area of triangle A is 8 cm².

Given:

the ratio of the similarity of triangle A to triangle B = 2 : 5

the area of triangle B = 50 cm²

To Find:

the area of triangle A

Solution:

we know that when two triangles are similar, the ratio of the squares of corresponding sides is equal to the ratio of the area of the two triangles

let the area of triangle A be x

⇒ 2² : 5² = x : 50

4/25 = x/50

x = 4/25 × 50

x = 4 × 2

x = 8

Thus, the area of triangle A is 8 cm².

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