Given the triangle A (10, 4), B(–4, 9), C(–2, 1), find the equation of median through B.
13x + 16y = 92
Let E is the mid-point of AC.
Equation of median through B (–4, 9) and E (4, 5/2) using:
(x1, y1) ≡ B (–4, 9) and (x2, y2) ≡ (4, 5/2)
Substituting the values of (x1, y1) and (x2, y2) in (i), we get:
Simplify to get: 13x + 16y = 92 is the required equation.
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