Question

find the ratio of the lengths of corresponding sides for the similar triangles. image of two similar triangles: first triangle with height 6 in and base 9 in; second triangle with height 8 in and base 12 in

Explanation:

Step1: Identify corresponding sides

The shorter triangle has sides 6 in (height) and 9 in (base). The taller triangle has sides 8 in (height) and 12 in (base). Corresponding sides are 6 & 8 (heights), 9 & 12 (bases).

Step2: Calculate the ratio

Take the ratio of corresponding sides (e.g., 6/8 or 9/12). Simplify $\frac{6}{8} = \frac{3}{4}$ or $\frac{9}{12} = \frac{3}{4}$.

Answer:

$\frac{3}{4}$