Question

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

Answer 1

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.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.