SOLUTION: find the length of the line segment between (2,-1) and (3,5). find the midpoint of the line segment between the points (2,-1) and (3,5)

Algebra ->  Linear-equations -> SOLUTION: find the length of the line segment between (2,-1) and (3,5). find the midpoint of the line segment between the points (2,-1) and (3,5)      Log On


   

Question 187668: find the length of the line segment between (2,-1) and (3,5).
find the midpoint of the line segment between the points (2,-1) and (3,5)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the length of the line segment between (2,-1) and (3,5).
find the midpoint of the line segment between the points (2,-1) and (3,5)
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You can always make a right triangle by adding a 3rd point where a vertical line thru one point, and a horizontal line thru the other, intersect.
Then use Pythagoras.
s+=+sqrt%28dy%5E2+%2B+dx%5E2%29 where dy is the difference in y, dx in x.
s+=+sqrt%28%285-%28-1%29%29%5E2+%2B+%283-2%29%5E2%29
s+=+sqrt%2836+%2B+1%29
distance = sqrt(37)
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To find the midpoint, take the average of x and y separately
xm = (2+3)/2 = 2.5
ym = (-1+5)/2 = 2
midpoint = (2.5,2)