Q4 of 45 Page 43

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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