Question

which rule explains why these scalene triangles are similar?

sss
sas
aa
none of the above; the triangles cannot be proven similar

Explanation:

To determine if the triangles are similar, we check the ratios of corresponding sides. For SAS similarity, we need two sides in proportion and the included angle equal. Here, \(\frac{54}{45}=\frac{6}{5}\) and \(\frac{66}{55}=\frac{6}{5}\), and the angles (marked red) are equal (included angles).

Answer:

SAS