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Find PS if ABC=PQR, AD is an altitude of ABC, PS is an altitude of PQR, AD=12, AC=16 and PR=10

a. 7.5
b. 19.2
c. 4.62
d. 19.5

Find PS if ABC=PQR, AD is an altitude of ABC, PS is an altitude of PQR, AD=12, AC-example-1

1 Answer

3 votes
If ABC = PQR, then PS will also be similar to AD.

First you need to find how they're similar.

16/10 = 1.6

Then, multiply 12 (AD) by 1.6 to find PS.

12 * 1.6 = 19.2

The answer is B. 19.2