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If A(2,-3) B(-1,4) and C(5,-2) are vertices of triangle. Find the equation of a median through vertex 'B'
Asked by raistar7042 | 02 Dec, 2023, 13:22: PM
Coordinates of Mid point D of A(2,-3) and C(5,-2)  = [ (2+5)/2 , -(3+2)/2 ] = [ 3.5 , -2.5 ]

Median from vertex B(-1,4 ) is the equation of line passing through B(-1,4) and D(3.5, -2.5) which is determined as given below

Equation passing through  (x1 , y1 ) and ( x2 , y2 ) is

Hence we get equation passing through B(-1, 4 ) and D(3.5, -2.5) is

Above expression is simplified as  13 x + 9 y - 23 = 0

equation passing through B(-1, 4 ) and D(3.5, -2.5) is 13 x + 9 y - 23 = 0
Answered by Thiyagarajan K | 02 Dec, 2023, 16:37: PM

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