Question

9) In a triangle ABC, AB=AC, E is the midpointof AB AND F is the mid point of AC. Show that BF=CE.

Answer 1

proof: AB=AC (given)
therefore 1/2AB=1/2AC
or,BE=CF
in triangles BEC and CFB
BE=CF
angleB = angleC (angles opp. to equal sides are equal)
BC=BC (common)
so triangle BEC is congrant to triangle CFB
hence,EC=FB
or,BF=CE