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Question
The ratio of the corresponding altitudes of two similar triangles is `3/5`. Is it correct to say that ratio of their areas is `6/5`? Why?
Solution
Ratio of corresponding altitudes of two triangles having areas A1 and A2 respectively is `3/5`.
By the property of area of two similar triangles,
⇒ `("A"_1/"A"_2) = (3/2)^2`
⇒ `9/25 ≠ 6/5`
So, the given statement is not correct.
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