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Question
O(0, 0), A(3, 5) and B(−5, −3) are the vertices of triangle OAB. Find the equation of median of triangle OAB through vertex O.
Solution
Let the median through O meets AB at D.
So, D is the mid-point of AB.
Co-ordinates of point D are
`((3 - 5)/2, (5 - 3)/2) = (-1, 1)`
Slope of OD = `(1 - 0)/(-1 - 0) = -1`
(x1, y1) = (0, 0)
The equation of the median OD is
y – y1 = m(x – x1)
y − 0 = −1(x − 0)
x + y = 0
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