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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.

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wegnerkolmp2741o

Answer:

PR = 3.2

Step-by-step 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

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