Ratio of areas of two similar tringles is 9 25 is the ratio of their corresponding sides

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Ratio of areas of two similar triangles is 9 : 25. _______ is the ratio of their corresponding sides.

3: 5

Let ΔABC and ΔPQR be two similar triangles.  

According to the given condition,

`"A(ΔABC)"/"A(ΔPQR)" = 9/25`      ...(Given)

But `"A(ΔABC)"/"A(ΔPQR)" = "AB"^2/"PQ"^2` ...(By the theorem of areas of similar triangles)

∴ `"AB"^2/"PQ"^2 = 9/25`

∴ `"AB"/"PQ" = 3/5`

∴ 3: 5 is the ratio of their corresponding sides. 

Concept: Areas of Two Similar Triangles

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