Question

If the altitudes of two different triangles are in the ration of 2 is to 3 find the ratios of their areas and also the ratio of their corresponding medians

Answer 1

The ratio of corresponding sides is 2:3

Explanation:

Given, the corresponding medians of two similar triangles are in ratio of = 2:3

We know that,

The ratio of corresponding median = ratio of their corresponding altitude

So the ratio of the corresponding median is equal to the corresponding altitude is 2:3.

So, the ratio of their corresponding sides will also be 2:3.

And the ratio of the area of two triangle = square of the ratio of their corresponding sides.