Monday, February 17, 2014

What is the length of the line segment AB with A(2,7) and B(-3,-12)?

Given the line segment AB such that A(2,7) and
B(-3,-12)


We need to find the length of the line
AB.


Then, we will use the distance between two points
formula to find the length.


We know
that:


D = sqrt( x2-x1)^2 +
(y2-y1)^2


==> l AB l = sqrt[ (-3-2)^2 + (-12-7)^2
]


                 = sqrt[ (25 +
361)


                 = sqrt(386) =
19.65


Then, the length of the line segment AB
is 19.65 units ( approx.)

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