Question

I need to prove that AC bisects BD. Can anyone help?

Answer 1

let the position vector of A,B,C,D and E be OA,OB,OC,OD andOE respectively.

IN triangle OBD , OE = OD+OB/2

OE=OA+AB+OD/2. (in triangle,OB=OA+AB)

OE=OA+OD+DC/2

OE=OA+OC/2. (in triangle ODC,OD+DC=OC)

proved....