Triangle ABC is graphed on a coordinate plane. find the length of AB?

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Answer 1 · 2018-02-20T07:12:16

#sqrt(20)# units.

The coordinates of #"A"# from the given cartesian plane will be #(0,-1)# and the coordinates of #"B"# will be #(2,3)#.

Now, according to the distance formula

#d = sqrt( (2-0)^2 + (3-(-1))^2)#

Mathematically:

#d = sqrt((2-0) * (2-0) + (3+1) * (3+1))#

You will get the result

#d = sqrt(4+16) = sqrt(20)#