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

Answer 1

Ella Armstrong

#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)#

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Answer 2

Aurora Ayala

To find the length of segment AB in triangle ABC on a coordinate plane, you would use the distance formula, which is derived from the Pythagorean theorem. The distance formula between two points ( (x_1, y_1) ) and ( (x_2, y_2) ) is:

[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ]

So, to find the length of AB, you would substitute the coordinates of points A and B into this formula and calculate the distance.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.