Question

Triangle LMN is similar to triangle OPQ. Find the measure of side QO. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
L
M
N
O
P
Q
11
20
5
Answer

Answer 1

Since LMN ~ OPQ, corresponding vertices give L↔O, M↔P, N↔Q. So OQ corresponds to LN. Using the scale factor OP/LM = 5/11,

OQ = (5/11)·LN = (5/11)·20 = 100/11 ≈ 9.1.

QO ≈ 9.1.