### Home > MC2 > Chapter 9 > Lesson 9.2.1 > Problem9-41

9-41.
1. The two triangles below are similar. Homework Help ✎

1. Find x.

2. Find the area of the smaller triangle.

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

4. Find the area of the larger triangle by using the formula for the area of a triangle.

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

What would the scale factor be between these two shapes?
Since 1 cm is the corresponding side, multiply it by the scale factor to get x.

x = 4 cm

$\text{Use the formula for the area of a triangle: }\frac{1}{2} ( \text{6 cm} )( \text{1 cm} )$

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.

3(4)2 = 48 cm2

$\text{Use the formula for the area of a triangle: } \frac{1}{2} (\text{base})(\text{height})$

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