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Perpendicular bisectors of triangle ABC intersect at point O, with given segment lengths and questions about finding unknown lengths.

Geometric diagram showing a triangle with perpendicular bisectors intersecting at point O, labeled with points A, B, C, D, E, F, and M, and a problem asking to find the lengths of segments related to the perpendicular bisectors.

Geometric diagram showing a triangle with perpendicular bisectors intersecting at point O, labeled with points A, B, C, D, E, F, and M, and a problem asking to find the lengths of segments related to the perpendicular bisectors.

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