Question

] Complete the explanation of how you know whether the triangles are similar. If possible, find the Indicated length. A P 2.0 1.7 B B Q 1.2 C С R Because two pairs of angles are congruent, the triangles are similar by the SSS Triangle Similarity Theorem QR =

Answer 1

1. The two triangles are similar because the two pairs of angles are equal, therefore the third angles of both triangles must also be equal.

We can call this the AAA similarity criterion

2. To find QR, we must use ratios between 2 known similar sides of both triangles,

$\frac{2.0}{1.7}=\frac{1.2}{QR}\text{ , QR=}\frac{1.2\times1.7}{2.0}=\text{ 1.02}$

So, QR =1.02