Question

Triangle PQR is similar to triangle XYZ. What is the length of XZ?

A) 11 in
B) 13.5 in
C) 9 in
D) 10.25 in

Answer 1

The length of XZ cannot be determined without knowing the length of PR in triangle PQR.

Step-by-step explanation:

Triangle PQR and triangle XYZ are similar. In similar triangles, corresponding sides are proportional. We can use this property to find the length of XZ. Let's say the length of PQ is 11 inches and the length of XY is x inches. The ratio of corresponding sides in similar triangles is equal, so we can set up the following proportion:

PQ/XY = PR/XZ

11/x = 9/PR

To find XZ, we need to find the length of PR. Since we don't have that information, we cannot determine the exact length of XZ. Therefore, the correct answer is D) 10.25 in.