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To find trisection point of an line segment for the question(-3,-2) (4,8) |
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Answer» Trisection means dividing a LINE SEGMENT in three EQUAL parts or dividing a line segment in the ratio 1:2 and 2:1 Given points: x 1
=3,x 2
=−3,y 1
=−2,y 2
=−4 CASE :- 1 m:n=1:2
=( m+n mx 2
+nx 1
, m+n my 2
+ny 1
)
=( 2+1 1(−3)+(3)
, 2+1 1(−4)+2(−2)
)
=( 3 −3+6
, 3 −4−4
)
=(−1, 3 −8
)
CASE :- 2 m:n=2:1
=( m+n mx 2
+nx 1
, m+n my 2
+ny 1
)
=( 2+1 2(−3)+1(3)
, 2+1 2(−4)+1(−2)
)
=( 3 −6+3
, 3 −8−2
)
=( 3 −3
, 3 −10
) =(−1, 3 −10
)
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