Question

ABC and DBC are two Triangles on same base BC such that a n d lie on the opposite sides of BC if Ab = To a c and d b equals to DC show that it is a perpendicular bisector of BC

Answer 1

since both the triangles are on same base
so, they together forms a quadrilateral.
In this quadrilateral the adjacent sides are equal. so, it is a rhombus and the diagonals of the rhombus are perpendicular to each other.

Therefore, AD BISECT'S BD