Find the point which divides the line segment joining the points A (5, 7) and B (8, 4) in the ratio 3 : 5.

Asked by Topperlearning User | 26th Sep, 2014, 01:57: PM

Expert Answer:

Let the coordinates of point C which divides the line segment AB in the ratio 3:5 is C (x, y).

C identical to open parentheses fraction numerator 5 cross times 5 plus 8 cross times 3 over denominator 3 plus 5 end fraction comma fraction numerator 7 cross times 5 plus 4 cross times 3 over denominator 3 plus 5 end fraction close parentheses
rightwards double arrow C identical to open parentheses 49 over 8 comma 47 over 8 close parentheses

         

Answered by  | 26th Sep, 2014, 03:57: PM

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