Question

If the ratio of the altitude of triangle A to the altitude of triangle B is 3:1, then the ratio of the area of triangle A to the area of triangle is

A 1:1
B It cannot be determined from the information given.
C 6:1
D 9:1

Answer 1

Answer: D) 9:1

Explanation:

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding altitudes (heights).

If the ratio of the altitude of triangle A to the altitude of triangle B is 3:1, then the ratio of the areas of triangle A to triangle B will be (3^2):(1^2), which simplifies to 9:1.

So, the correct answer is:

D) 9:1