Question

P(5,3), Q(-4,7) and R(8,3) are he vertices of a traingles. Find the equation of the median of the traiangle from p.

Answer 1

Let PS be the median of the ΔPQR from P

  `therefore` RS : SQ = 1 : 1

Coordinates of S are,

S`((8 - 4)/2 , (3 + 7)/2)` = S(2, 5)

Equation of PS is `("y" - "Y"_1)/("x" - "x"_1) = ("y"_2 - "y"_1)/("x"_2 - "x"_1)`

`("y" - 3)/("x" - 5) = (5 - 3)/(2 - 5)`

⇒ 2x - 10 = -3y + 9

⇒ 2x + 3y = 19