Q. 44.1( 28 Votes )

# In ΔABC, point M is the midpointof side BC.

If, AB^{2} + AC^{2} = 290 cm^{2},AM = 8 cm, find BC.

Answer :

Given AB^{2} + AC^{2} = 290 cm^{2},AM = 8 cm, BM = MC

According to formula,

AM^{2} =

⇒ 64 =

⇒ 64 –

⇒ BC^{2} = 324

BC = 18.

Thus BC = 18 cm.

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