Since the NMO triangle is similar to the KLO triangle, the corresponding sides of these triangles are proportional and equal to the coefficient of similarity:
OL / OM = NO / KO = MN / LK = k, where k is the similarity coefficient.
Substitute the known data into the resulting expression:
15/5 = 9 / KO = k => k = 3
9 / KO = 3 => KO = 9/3 = 3.
Answer: KO = 3.
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