Question

find the points of trisection of the line segment joining 12,0 and -6,5​

Answer 1

Answer:

I now the answer my friend

Answer 2

Given :   line segment joining the (12,0)  and (-6,5).​

To Find  : coordinate of the points of  trisection

Solution:

Let  say

P = ( 12 , 0)

Q = (-6 , 5)

Points A & B Trisect PQ

such that PQ

A divided in 1 : 2 Ratio   & B divides in 2 : 1

P = ( 12 , 0) Q = (-6 , 5)

A divided in 1 : 2

A  =  ( 1 * (-6) + 2 * 12)/(1 + 2)   , ( 1 * 5  + 2 *0)/(1 + 2)

A = ( -6 + 24)/3 , ( 5+0) / 3

A = 18/3 , 5/3

A = 6 , 5/3

P = ( 12 , 0) Q = (-6 , 5)

B divided in 2 : 1

B  =  ( 2* (-6) + 1 * 12)/(1 + 2)   , ( 2 * 5  +1 *0)/(1 + 2)

B = ( -12 + 12)/3 , ( 10+0) / 3

B = 0/3 , 10/3

B = 0 ,10/3

P = ( 12 , 0)    A = (6 , 5/3)  , B = (3 , 10/3)   ,  Q = (-6 , 5)

(6 , 5/3)  and (3 , 10/3)   trisect line segment joining the  (12,0)  and (-6,5).​

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