Question

A right triangle ABC is similar to triangle PQR such that the hypotenuse BC=10 and the hypotenuse QR=4. If AC=8, then what is the length of PR? Round your answer to the nearest tenth.

Answer 1

PR = 3.2

Explanation:

We can use proportions to solve this problem. Put the first triangle side over the second triangle side.

BC AC

-------- = ----------

QR PR

Substituting in values

10 8

-------- = ----------

4 PR

Using cross products

10 PR = 8*4

10 PR = 32

Divide by 10

10 PR/10 = 32/10

PR = 3.2