Mathematics
Show that A(3, -2) is a point of trisection of the line-segment joining the points (2, 1) and (5, -8). Also, find the co-ordinates of the other points of trisection.
Section Formula
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Answer
Let A divide line-segment joining the points (2, 1) and (5, -8) in m1 : m2.

By formula,
Since, A divides line-segment joining the points (2, 1) and (5, -8) in 1 : 2.
Hence, proved A is a point of tri-section.
Let another point of tri-section be B(a, b). So, it will divide the line segment in 2 : 1.
Substituting values we get,
Substituting values we get,
B = (a, b) = (4, -5).
Hence, co-ordinate of other point of trisection = (4, -5).
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