geometry

the points A(1;1),B(5;-1)and C(3;5) are the vertices of a triangle and AD bisects BC.Find the coordinates of D.

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  1. since AD bisects BC, point D is therefore the midpoint of B and C. recall that the formula for midpoint is given by
    MP = ( (x1 + x2)/2 , (y1 + y2)/2 )
    where
    (x1,y1) and (x2,y2) = coordinates of B and C
    substituting,
    D = ( (5+3)/2 , (-1+5)/2 )
    D = ( 8/2 , 4/2 )
    D = (4, 2)

    hope this helps~ :)

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