In Triangle ABC , D is the mid-point of side BC. Find the length of side AB.
√26 units
In the given figure, since D is the mid-point of side BC, AD is a Median.
Using Appollonius theorem,
we have,
AB2+AC2=2(BD2+AD2)⇒AB2+(12)2=2(36+49)AB2+144=170AB2=26⇒ AB=√26 units