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Question
The points A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC. The median from A meets BC at D. Find the coordinates of the point D.
Solution
According to the question,
The vertices of ΔABC = A, B and C
Coordinates of A, B and C = A(x1, y1), B(x2, y2), C(x3, y3)
As per given information D is the mid-point of BC and it bisect the line into two equal parts.
Coordinates of the mid-point of BC;
BC = `((x_2 + x_3)/2, (y_2 + y_3)/2)`
⇒ D = `((x_2 + x_3)/2, (y_2 + y_3)/2)`
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