Question

are these scalene triangles similar? yes no

Explanation:

Step1: Check the ratio of corresponding sides

For triangle \(STU\) and \(IHJ\), \(\frac{72}{48}=\frac{3}{2}\), \(\frac{48}{32}=\frac{3}{2}\)

Step2: Check the included angle

The included angle for both triangles is \(97^{\circ}\)

Since the ratio of two pairs of corresponding sides is equal (\(\frac{3}{2}\)) and the included angles are equal (\(97^{\circ}\)), by the Side - Angle - Side (SAS) similarity criterion, the two triangles are similar.

Answer:

yes