Question

determine whether the triangles are similar by aa-, sss-, sas-, or not similar.

Explanation:

Step1: List side length ratios

$\frac{RS}{QN} = \frac{44}{20} = 2.2$, $\frac{ST}{NP} = \frac{55}{25} = 2.2$, $\frac{RT}{QP} = \frac{37.4}{17} = 2.2$

Step2: Compare all ratios

All corresponding side ratios are equal.

Answer:

The triangles are similar by SSS similarity.