Question

The corresponding medians of two similar triangles are in the ratio 4:7.So what is the ratio of their areas?

Answer 1

Answer:

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Explanation:

Let their respective areas be A1 and A2.

Since we have given that

Ratio of corresponding medians of two similar triangles = 4:7

We need to find the respective areas be A1 and A2.

So, it becomes

ar (A1) / ar (A2) = (median of A1) / (median of A2)

ar (A1) / ar (A2) = (4 / 7)^2

ar (A1) / ar (A2) = 16 / 49

Hence, the ratio of their respective areas be A1 : A2 = 16 : 49.

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