Question

In the diagram of NRQ below, SP|RQ, NS=5, SR=10, and PQ=22. What is the
length of NQ?

Answer 1

To find the length of NQ, we can use the fact that corresponding sides in similar triangles are proportional.

Step-by-step explanation:

Given that NS = 5, SR = 10, and PQ = 22, we need to find the length of NQ.

Since SP|RQ, we can use the fact that the lengths of corresponding sides in similar triangles are proportional. This means we can set up the following proportion:

NS/SR = NQ/PQ

Substituting the given values, we get:

5/10 = NQ/22

Cross multiplying, we have:

10*NQ = 5*22

Dividing both sides by 10, we find:

NQ = 5*22/10

NQ = 11