Question

The coordinates of the midpoints of the line segment joining the points (2, 3, 4) and (8, -3, 8) is​

Answer 1

$\textbf{Given:}$

$\textsf{Points are (2,3,4) and (8,-3,8)}$

$\textbf{To find:}$

$\textsf{The co-ordinates of the midpoint of the line segment}$

$\textsf{joining (2,3,4) and (8,-3,8)}$

$\textbf{Solution:}$

$\textbf{Concept used:}$

$\boxed{\begin{minipage}{7cm} \\\mathsf{The\;midpoint\;of\;the\;line\;segment\;joining}\\\\\mathsf{(x_1,y_1,z_1)\;and\;(x_2,y_2,z_2)\;is}\\\\\mathsf{\;\;\;\;\;\;\;\;\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2},\right)}\\ \end{minipage}}$

$\textsf{The midpoint of the line segment joining (2,3,4) and (8,-3,8) is}$

$\mathsf{\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2}\right)}$

$\mathsf{=\left(\dfrac{2+8}{2},\dfrac{3+(-3)}{2},\dfrac{4+8}{2}\right)}$

$\mathsf{=\left(\dfrac{10}{2},\dfrac{0}{2},\dfrac{12}{2}\right)}$

$\mathsf{=(5,0,6)}$

$\textbf{Answer:}$

$\textsf{The co-ordinates of the midpoint of the line segment}$

$\textsf{joining (2,3,4) and (8,-3,8) are (5,0,6) }$

$\textbf{Find more:}$

1.Coordinates of the midpoint of the line segment joining the point (3, 7) and (5, 9) is​

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2.In a triangle abc x is the midpoint of ac and xy parallel to ab prove y is midpoint

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3.The mid points of the line segment joining the points (-5,7) and (-1,3) is a) (-3, 7) b) (-3, 5) C) (-1, 5) d) (5, -3) ​

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