Question

The vertices of ΔPQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.

Answer 1

It is given that the vertices of ΔPQR are P (2, 1), Q (–2, 3), and R (4, 5).

Let RL be the median through vertex R.

Accordingly, L is the mid-point of PQ.

By mid-point formula, the coordinates of point L are given by `((2-2)/2, (1+3)/3) = (0, 2)`

It is known that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is

Thus, the required equation of the median through vertex R is 3x -4y + 8 = 0.