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The ratio of the corresponding altitudes...

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?

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To determine whether the statement that the ratio of the areas of two similar triangles is \( \frac{6}{5} \) is correct, given that the ratio of their corresponding altitudes is \( \frac{3}{5} \), we can follow these steps: ### Step 1: Understand the relationship between the altitudes and areas of similar triangles. For two similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding altitudes. ### Step 2: Write down the given ratio of the altitudes. The ratio of the corresponding altitudes of the two similar triangles is given as: \[ ...
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