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SMO 2014 Open Round 1 Question 5

SMO · SMO 2014 Open Round 1

Question 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.

Question illustration