The coordinates of a triangle ABC are A (1, 5), B (−2, 3), and C(0, −4). What is the equation of the median AD?
Explanation:
The co-ordinates of D are {[(−2 + 0)/2], [(3 − 4)/2]} = (−1, − 0.5)
Using the two point form, the equation of median AD is:
(y − 5) / (x − 1) = (−0.5 − 5) / (−1 − 1)
∴ (y − 5) / (x − 1) = 5.5 / 2 = 11 / 4
∴ 4y − 20 = 11x − 11
∴ 11x − 4y + 9 = 0
Hence, option (d).
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