In triangle ABC, AB = x, BC = y, and CA = 2x. A similarity transformation with a scale factor of 0.5 maps triangleABC to triangle MNO, such that vertices M, N, and O correspond to A, B, and C, respectively. If OM = 5, what is AB?

OM = 0.5 * CA = 5, then CA = 10 = 2x and x = 5.

Answer: AB = 5

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