Question:

The ratio of corresponding sides of similar triangles is 3:5; then find the ratio of their areas

Answer:

When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides.
Given , the ratio of corresponding sides of the triangle is 3:5.
Ratio of their areas = 32/5[Theorem of areas of similar triangles]
= 9/25
Hence ratio of their areas = 9:25

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