Question

Question 3 (i)
The points $A(x_1,y_1),B(x_2,y_2)andC(x_3,y_3)$ are the vertices of $\Delta$ ABC.
The median from A meets BC at D. find the coordinates of the point D.

Answer 1

Given that, the points$A(x_1,y_1),B(x_2,y_2)andC(x_3,y_3)$ are the vertices of $\Delta$ ABC.
We know that, the median bisect the line segment into equal parts i.e, here D is the mid-point of BC.
$\therefore$ Co-ordiante of mid-point of BC
= $(\frac{x_2+x_3}{2},\frac{y_2+y_3}{2})\Rightarrow D=(\frac{x_2+x_3}{2},\frac{y_2+y_3}{2})$