Question

In the given fig angle b = angle c and ab = ac . prove that be = cf

Answer 1

The median AD, median BE and the perpendicular bisector CF which bisects angle C should meet at a point G which is 2/3 rd of median AD.

Point G is the center of gravity of a triangular lamina.

Angle b=c.

AD is medium then BD=DC.

In triangle ABD = ACD then BD= DC then AB= AC.