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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.
Solution
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
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