Question

Find the distance between each of the following pairs of points.

A (2, 3), B (4, 1)​

Answer 1

Step-by-step explanation:

The distance between A(2,3) and B(4,1)

=AB=√{(4-2)²+(1-3)²}

=√2²+(-2)²

=√4+4

=√8=2√2 unit

Answer 2

Answer:

Step-by-step explanation:

Let \: A(2,3) = (x_{1},y_{1}) \:and \:B(4,1) = (x_{2},y_{2})LetA(2,3)=(x

1

,y

1

)andB(4,1)=(x

2

,y

2

)

Distance = AB = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}Distance=AB=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

\begin{gathered}= \sqrt{ (4-2)^{2} + (1-3)^{2}}\\=\sqrt{2^{2} + (-2)^{2}}\\=\sqrt{ 4+4} \\=\sqrt{8}\\=\sqrt{2\times 2\times 2} = 2\sqrt{2}\end{gathered}

=

(4−2)

2

+(1−3)

2

=

2

2

+(−2)

2

=

4+4

=

8

=

2×2×2

=2

2

Therefore.,

\red { Distance \: between \: points }\green {=2\sqrt{2}}