Question

The distance between two points - 2, 3 and 4, 0 is

Answer 1

Answer:

4-(-2), 0-3

=6,-3...................

Answer 2

The distance between the points (-2,3) and (4,0) is $3\sqrt{5}$ unit.

Given,

Two points in 2D (-2,3) and (4,0).

To Find,

The distance between the two given points (-2,3) and (4,0).

Solution,

We can solve the given mathematical problem by using the following mathematical process.

The method of finding the distance between the given points is as follows -

Let A $(a_{1} ,a_{2})$and B $(b_{1} ,b_{2})$ be two points in 2D.

We know that the formula of the distance between the two points A and B is  $\sqrt{(b_{1}-a_{1})^{2} + (b_{2}-a_{2})^{2} }$ unit.

So, the distance between the points (-2,3) and (4,0) is $\sqrt{(4-(-2))^{2}+(0-3)^{2} }$

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

$= \sqrt{36+9}$

$=\sqrt{45}=3\sqrt{5}$

Hence, the distance between the points (-2,3) and (4,0) is $3\sqrt{5}$ unit.

 

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