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

Question

Philoid · Accepted Answer

Given vertices of ΔPQR i.e. P (2, 1), Q (-2, 3) and R (4, 5)

Let RL be the median of vertex R.

So, L is a midpoint of PQ.

We know that the midpoint formula is given by .

∴ L = = (0, 2)

We know that the equation of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by

⇒ (-4) (y – 5) = (-3) (x – 4)

⇒ -4y + 20 = -3x + 12

⇒ -4y + 20 + 3x – 12 = 0

⇒ 3x – 4y + 8 = 0

Ans. The equation of median through the vertex R is 3x – 4y + 8 = 0.