Question

The ratio of the corresponding altitudes of two similar triangles is 3:5. Find the ratio of their areas.

Answer 1

we know the theorem of the area of similar triangles.
ratio of the area of two similar triangles is equal to the square of the ratio of its corresponding sides or altitude.

so, the ratio of the area of their = (ratio of its altitude )^2
                                                = (3/5)^2
                                                =9/25

Answer 2

Hi friend!

We know that,
The ratio of areas of two similar triangles is equal to the square of the ratio of corresponding altitutes.
Apply this theorem herr.

Ratio of their areas = (ratio of their attitudes)²
= (3/5)²
= 9/25
= 9:25