Question

in the given figure"p"is a midpoint of b c, write the formula to find the coordinate of p? a=(x1,y1) b = (x2,y2) c = (x3, y3)​

Answer 1

$\textbf{Given:}$

$\mathsf{A(x_1,y_1),\;B(x_2,y_2),\;C(x_3,y_3)\;and}$

$\textsf{P is the midpoint of BC}$

$\textbf{To find:}$

$\textsf{Co-ordinates of P}$

$\textbf{Solution:}$

$\underline{\textsf{Concept used:}}$

$\mathsf{The\;mid\;point\;of\;the\;line\;joining\;(x_1,y_1)\;and\;(x_2,y_2)\;is}$

$\boxed{\mathsf{\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\right)}}$

$\mathsf{Then,\,the\,midpoint\,of\,the\,line\,joining\,(x_2,y_2)\;and\;(x_3,y_3)\;is}$

$\mathsf{\left(\dfrac{x_2+x_3}{2},\dfrac{y_2+y_3}{2},\right)}$

$\textbf{Find more:}$

If P is the midpoint of A (3,8) and D(-3, -8) then find the coordinates of P​

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