Exams › SSC CGL (Prelims) › General

If two triangles are similar and the ratio of their corresponding altitudes is 3:7, find the ratio of their areas.

1. 3:7
2. 9:49
3. 6:14
4. 9:14

Correct answer: 9:49

Solution

In similar triangles, all corresponding linear dimensions are in the same ratio. Since the altitudes are in the ratio 3:7, the areas are in the ratio \(3^2:7^2 = 9:49\).

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