Q. 44.1( 28 Votes )

# In ΔABC, point M is the midpointof side BC.If, AB2 + AC2 = 290 cm2,AM = 8 cm, find BC.

Given AB2 + AC2 = 290 cm2,AM = 8 cm, BM = MC

According to formula,

AM2 =

64 =

64 –

BC2 = 324

BC = 18.

Thus BC = 18 cm.

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