Respuesta :
The midpoint is at (6/10 , -7/10 , 4)
In the given statement is
To find the midpoint of the line segment joining the pair of points
G(1,-1,6) and H(1/5,-2/5, 2)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex] )
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points G(1,-1,6) and H(1/5,-2/5, 2)
Solving for the midpoint , we have,
m = ([tex]\frac{1+\frac{1}{5} }{2} , \frac{-1+(\frac{-2}{5} )}{2} , \frac{6+2}{2}[/tex])
m =(6/10 , -7/10 , 4)
Therefore, the midpoint is at (6/10 , -7/10 , 4)
Learn more about Midpoint at :
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