Question

The triangles are similar. The area of the larger triangle is 567 cm². What is the area of the smaller triangle?

A. 10.5cm^2


B. 31.5cm^2


C. 63cm^2


D. 189cm^2

Answer 1

The answer is C. The scale factor of the smaller triangle to the larger triangle is 18:54, or 1:3. The ratio of their areas is the scale factor squared, 1:9. If the larger triangle had an area of 567, the smaller triangle is 1/9th of that. 567 divided by 9 is 63.