# What is the distance between (6,5) and (2,3)?

Apr 8, 2016

distance between point is $\text{ } 2 \sqrt{5}$

#### Explanation:

The straight line between these point can be considered as the hypotenuse of a triangle. Consequently it can be solved using Pythagoras.

Let the distance between the points be$\text{ } d$

Then

$\text{ } d = \sqrt{{\left[{x}_{2} - {x}_{1}\right]}^{2} + {\left[{y}_{2} - {y}_{1}\right]}^{2}}$

$\text{ } d = \sqrt{{\left[2 - 6\right]}^{2} + {\left[3 - 5\right]}^{2}}$

$\text{ } d = \sqrt{20} = 2 \sqrt{5}$