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In ∆ABC, point M is the midpoint of side BC. If AB2 + AC2 = 290 cm, AM = 8 cm, find BC.

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In ∆ABC, point M is the midpoint of side BC. [Given] 

∴ seg AM is the median.

Now, BC = 2 MC [M is the midpoint of BC] 

= 2 × 9 

∴ BC = 18 cm

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