I don't know the formula to solve this question
Find the midpoint of the segment connecting the points A(3,5,2) and B(4,8,6).
average x = (3+4)/2 = 3.5
average y = (5+8)/2 = 6.5
average z = ( 2+6)/2 = 4
So the midpoint of the segment is (3.5,6.5,4) right?
To find the midpoint of a line segment, you can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the two endpoints.
The midpoint formula in three dimensions is as follows:
Midpoint = ( ((x1 + x2) / 2) , ((y1 + y2) / 2) , ((z1 + z2) / 2) )
Let's apply this formula to find the midpoint of the segment connecting points A(3, 5, 2) and B(4, 8, 6).
First, we find the average of the x-coordinates:
x-coordinate of midpoint = (3 + 4) / 2 = 7 / 2 = 3.5
Then, we find the average of the y-coordinates:
y-coordinate of midpoint = (5 + 8) / 2 = 13 / 2 = 6.5
Lastly, we find the average of the z-coordinates:
z-coordinate of midpoint = (2 + 6) / 2 = 8 / 2 = 4
Therefore, the midpoint of the segment connecting points A(3, 5, 2) and B(4, 8, 6) is M(3.5, 6.5, 4).