Question

Triangle NOP is similar to triangle QRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.
N
O
P
Q
R
S
47
27
9
Answer

Answer 1

Corresponding vertices give NO ↔ QR and OP ↔ RS. So the scale factor from triangle NOP to QRS is RS/OP = 9/27 = 1/3. Thus

QR = (1/3)·NO = (1/3)·47 ≈ 15.7.