Question

find the distance between the following pairs of points (2,3),(4,1)

Answer 1

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Answer 2

Answer:

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

Step-by-step explanation:

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

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

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

Therefore.,

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

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