Find the coordinates of point which divides the line segments joining A(0,5) and B(9,2) into three equal parts?
Answers
Given : points A divides the segment joining A(0,5) and B(9,2) into three equal parts
To Find : coordinates of points
Solution:
A(0,5) and B(9,2)
C and D
AC = CD = DB
=> AC : CB = 1: 2 and D is mid point C & B
Ratio =1 : 2
A(0,5) and B(9,2)
Cx = ( 1 * 9 + 2 * 0)/3 Cy = ( 1 * 2 + 2 * 5)/3
= 3 = 4
C = ( 3 , 4)
C = ( 3 , 4) B(9,2)
=> D = ( 3 + 9)/2 , ( 4 + 2)/2
= 6 , 3
A (0 , 5) C ( 3 , 4) D ( 6 , 3) B ( 9 , 2)
Hence point C ( 3 , 4) D ( 6 , 3) divided line segments joining A(0,5) and B(9,2) into three equal parts
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