Question

The two triangles are similar. What is the scale factor from the smaller

triangle to the larger triangle?

8 cm
9 cm
10 cm
Smaller

18 cm
14.4 cm
16.2 cm
Larger

Answer 1

The scale factor for the triangles (larger/smaller) = 6/2 = 3.

The area of the larger triangle equals the area of the smaller triangle times the square of the scale factor (32 = 9):

Area of Larger Triangle = Area of Smaller triangle * Scale Factor 2 = (3 cm2)*9 = 27 cm2.