Q6 of 45 Page 43

In seg AP is a median. If BC = 18, AB2 + AC2 = 260 Find AP.


We know, By Apollonius theorem


In ΔABC,


if P is the midpoint of side BC, then AB2 + AC2 = 2AP2 + 2BP 2


Given that, AP is median i.e. P is the mid-point of BC



And BC = 18 cm


and AB2 + AC2 = 260


⇒ 260 = 2AP2 + 2(9)2


⇒ 260 = 2AP2 + 162


⇒ 98 = 2AP2


⇒ AP2 = 49


⇒ AP = 7 units


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