are these scalene triangles similar? yes no

Explanation:

Step1: Check ratio of corresponding sides

Calculate $\frac{30}{32}=\frac{15}{16}$ and $\frac{55}{48}$. Since $\frac{15}{16}\neq\frac{55}{48}$, the ratios of corresponding sides are not equal.

Step2: Recall similarity - side - side - side (SSS) and side - angle - side (SAS) criteria

For two triangles to be similar, either all corresponding - side ratios are equal (SSS similarity) or two pairs of corresponding sides are in proportion and the included angles are equal (SAS similarity). Here, the side - ratios are not equal.

Answer:

no