Question

If two triangles are similar with a zoom factor of 3, and the smaller one has area 12 sq. units, what is the area of the bigger one? the answer is 108 sq units, im curious how it got there

Answer 1

Please check explanations

Explanation:

Mathematically, the area of a triangle is

A = 1/2 * b * h

where b is base and height is h

For the smaller one

we can have sides of 12 by 2

For the bigger , we have to dilate by a factor of 3

Our side dimensions will be 36 by 6

The area of this big one will be

1/2 * 36 * 6 = 108 square units