2014 Singapore MO (Open Rd 1) Problem 5

2014 SMO (Open-Rd1) 5. The figure below (not drawn to scale) shows a triangle ABC with BC = 8 cm, BA = 4 cm and AC = 2\sqrt{31} cm. The point M is the midpoint of AC. Find the length of BM in centimetres.

SMO_2014_OpenRd1_05_01

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