Question

Find the distance between the points (2,3) and (5,-2)

Answer 1

The distance between points (2,3) and (5, -2) is $\sqrt{34}$ units.

The given points are (2,3) and (5, -2)

The distance (D) between two points $(x_{1} ,y_{1} )$  $(x_{2} ,y_{2} )$ is

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

For evaluating the distance between the points (2,3) and (5, -2)

The distance (D) = $\sqrt{(2 - 5)^{2} +(3 -(-2) )^{2} } = \sqrt{(-3)^{2} +5^{2} } = \sqrt{9+25} = \sqrt{34}$

Hence, the distance between points (2,3) and (5, -2) is $\sqrt{34}$ units.

Distance is a numerical or occasionally qualitative dimension of how a ways apart objects or points are.

In normal utilization, distance may additionally discuss with a bodily duration or an estimation primarily based on different standards.

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