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

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.

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