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Geometry help please?
What is the distance between points (-5,7) and (8, 12)? What is the midpoint between the two points?
1 Answer
- MattLv 71 decade agoFavorite Answer
To find the distance between the two points, use the distance formula:
d = sqrt[ (x2-x1)^2 + (y2-y1)^2 ]
d = sqrt[ (8 - -5)^2 + (12 - 7)^2 ]
d = sqrt(13^2 + 5^2)
d = sqrt(169 + 25)
d = sqrt(194)
So the distance between the two points is the square root of 194.
To find the midpoint, use the midpoint formula:
M = ( [x1+x2]/2, [y1+y2]/2 )
M = ( [-5 + 8]/2, [7 + 12]/2 )
M = (3/2, 19/2)
M = (1.5, 9.5)
So the midpoint is (1.5, 9.5).
I hope that helps! :)
