Question

which rule explains why these scalene triangles are similar?
sss
sas
aa

Explanation:

Step1: Check the ratio of sides

Calculate the ratio of the corresponding sides. For the sides \(35\) and \(30\), and \(56\) and \(48\).
\(\frac{35}{30}=\frac{7}{6}\), \(\frac{56}{48}=\frac{7}{6}\)

Step2: Check the included angle

The included angles (\(\angle H\) and \(\angle R\)) are equal (marked as equal in the figure).

Since the ratio of two pairs of corresponding sides is equal and the included angles are equal, by the SAS (Side - Angle - Side) similarity criterion, the triangles are similar.

Answer:

SAS