Question

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively.

Find the equation of median through vertex A.

Also, find the equation of the line through vertex B and parallel to AC.

Answer 1

Given, the co-ordinates of vertices A, B and C of a triangle ABC are (4, 7), (-2, 3) and (0, 1) respectively.

Let AD be the median through vertex A.

Co-ordinates of the point D are

The slope of the line which is parallel to line AC will be equal to the slope of AC.

The equation of the line which is parallel to AC and passes through B is given by: