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Question

The ratio between the altitudes of two similar triangles is 3 : 5; write the ratio between their : (i) medians. (ii) perimeters. (iii) areas.

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Solution

Please find below the solution to the asked query:

Given : The ratio between the altitudes of two similar triangles is 3 : 5 .

We know " In similar triangles ratios of the perimeter , sides , altitudes and medians are all in the same ratio.

So,

1 ) Ratio of their medians = 3 : 5 ( Ans )

2 ) Ratio of their perimeters = 3 : 5 ( Ans )


And we also know " Ratios of the the area is the square of any of these above ratios ( Corresponding sides ) .

3 ) Ratio of their areas = 32 : 52 = 9 : 25 ( Ans )

Hope this information will clear your doubts about topic.

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