### Home > MC2 > Chapter 9 > Lesson 9.2.1 > Problem 9-41

9-41.

Find

.What would the scale factor be between these two shapes?

Sincecm is the corresponding side, multiply it by the scale factor to get .cmFind the area of the smaller triangle.

Use the formula for the area of a triangle:

Based on ratios of similarity, find the area of the large triangle.

When using ratios of similarity to scale a shape, the area of the old shape is multiplied by the scale factor squared to get the area of the new shape.

cm ^{2}Find the area of the larger triangle by using the formula for the area of a triangle.

Use the formula for the area of a triangle:

Verify that your answers to (c) and (d) are the same.

Did you get the same answer? Make sure to show your work.