Question

Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
J
K
L
M
N
O
37
17
15
Answer

Answer 1

Correspondence: J↔M, K↔N, L↔O. So the scale factor from triangle JKL to MNO is MN/JK = 15/37. Then MO corresponds to JL, so

MO = JL * (15/37) = 17*(15/37) = 255/37 ≈ 6.9.

Answer: 6.9.