one point of trisection of the line segment joining (3, -3) and (6, 9) is
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Given : point of trisection of the line segment joining (3, -3) and (6, 9)
To Find : any one point
Solution:
Trisection point divides segment in 1:2 or 2 : 1 ratio
(3, -3) and (6, 9)
Ratio 1 : 2
Point
= ( 1 * 6 + 2 * 3)/(1 + 2) , ( 1 *+ 9 + 2 * - 3)/(1 + 2)
= (6 + 6)/3 , (9 - 6)/3
= 12/3 , 3/3
= 4 , 1
Similarly other point 2 : 1
Hence ( 5 , 5)
Points of trisections area
( 4 , 1) and ( 4 , 5)
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