If A(1,-2), B(-2, 3) and C(2, -5) are the vertices of ΔABC then the equation of the median BE is
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solution:
In triangle ABC , BE is the median
therefore, E is the midpoint of side AC
let coordinates of median be x and y
therefore by midpoint formula
x= x1+x2/2 and y= y1+y2/2
=1+2/2 and y= -5-2/2
= 3/2 and y= -7/2
x = 1.5 and y = -3.5
therefore ,
-6×x=2×y (because 2× -3.5=
-6x - 2y = 0 -9 and -6×1.5= -9)
I don't know if this is right or wrong but i hope this helps
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