Q9 of 53 Page 158

In Δ ABC, is median. If AB2 + AC2 = 130 and AD = 7, then BD =


In Δ ABC, using Apolloneous Theorem, we know that,


For AD to be the median, we have,


AB2 + AC2 = 2(AD2 + BD2)


⇒ 130 = 2(72 + BD2)


⇒ 65 = 49 + BD2


⇒ 16 = BD2


⇒ BD = 4


∴ Option (a) is correct.

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