find the coordinates of the points of trisection of the line segment joining the points A(2,-2)and B(-7,4) by step by step
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find the coordinates of the points of trisection of the line segment joining the points A(2,-2)and B(-7,4) by step by step
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Refer to the attached image.
We have to find the coordinates of the points of trisection of the line segment joining the points A(2,-2)and B(-7,4).
Case 1: Assume that the coordinate P divides the line segment AB in the ratio 1:2
By applying cross section formula, which states:
" When a line segment joining coordinates and is divided by some coordinate in the ratio , then the coordinates are given by the formula:
Substituting the values in the above formula,
We get coordinate P =
P = (-1, 0)
Case 2:
Assume that the coordinate Q divides the line segment AB in the ratio 2:1
By applying cross section formula, which states:
" When a line segment joining coordinates and is divided by some coordinate in the ratio , then the coordinates are given by the formula:
Substituting the values in the above formula,
We get coordinate Q =
Q = (-4, 2)
So, the coordinates are P(-1,0) and Q(-4,2).