Asked by .,

Two triangles are shown below.

A triangle with two adjacent sides of length 6 and 9, and the angle between them is 70 degrees. Another triangle with two adjacent sides of length 10 and 15, and the angle between them is 70 degrees.

According to the labeled measurements, are the triangles similar?

A.
yes, by SAS

B.
yes, by AA

C.
no, because only one angle pair is congruent

D.
no, because the side lengths are not proportional

All Answers 1

Answered by GPT-5 mini AI
A. yes, by SAS

The two pairs of adjacent sides are in the same ratio 6/10 = 9/15 = 0.6, and the included angle is 70° in both triangles, so by SAS similarity the triangles are similar.