﻿ Find the equations of the medians of a triangle, the coordinates of whose vertices are (–1, 6), (–3, –9) and (5, –8). : Kaysons Education

# Find The Equations Of The Medians Of A Triangle, The Coordinates Of Whose Vertices Are (–1, 6), (–3, –9) And (5, –8).

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## Question

### Solution

Correct option is

29x + 4y + 5 = 0, 8x – 5y – 21 = 0, 13x + 14y + 47 = 0

Let A(–1, 6), B(–3, –9) and C(5, –8) be the vertices of âˆ†ABC. Let DEand F be the mid-points of the sides BCCA and AB respectively.

i.e.,       (2, –1)

i.e.,       (–2, –3/2)

∴ Equation of the median AD = Equation of line through (–1, 6) and  is

or    29x + 4y + 5 = 0

Equation of median BE is

i.e.,  8x – 5y – 21 = 0

and equation of median CF is

i.e.   13x + 14y + 47 = 0

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