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A (2, – 4), B (3, 3) and C (– 1, 5) are the vertices of triangle ABC.

Find the equation of: the median of the triangle through A.

Answer:

**Solution:**

Given, A (2, – 4), B (3, 3) and C (– 1, 5) are the vertices of triangle ABC

D is the mid-point of BC

So, the co-ordinates of D will be

((3 – 1)/2, (3 + 5)/2) = (2/2, 8/2) = (1, 4)

Now,

Slope of median AD is = 4-(-4)/ 1-2 = 8/-1=-8

Equation of median AD will be

y -(-4) = -8( x-2)

y+4= -8x +16

y= -8x+ 12 is the required equation of median AD

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