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Question
Ratio of areas of two similar triangles is 9 : 25. _______ is the ratio of their corresponding sides.
Options
3 : 4
3 : 5
5 : 3
25 : 81
Solution
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.
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