Final answer:
To find qr, set up a proportion using the concept of similarity of triangles with corresponding sides that are proportional to each other and solve for qr.
Step-by-step explanation:
To find qr, we can use the concept of similarity of triangles. Similar triangles have corresponding sides that are proportional to each other.
Given pn = 12, qp = 8, and pm = 17, we can set up a proportion:
qp/pn = qr/pm
Substituting the values:
8/12 = qr/17
Cross multiplying and solving for qr:
qr = (8 * 17) / 12 = 136 / 12 = 11.3
Therefore, the answer is c. 11.3.