Question

distance between the coordinates (2,1) and (4,-3)​

Answer 1

Answer:2√2

Step-by-step explanation; Therefore, the distance between (2, 3) and (4, 1) is 2√2 units. Note: This problem can be alternatively solved by using the diagram given below.

Answer 2

Answer:

The distance between the coordinates (2,1) and (4,-3) is $2\sqrt{5}$

Step-by-step explanation:

We have been given two coordinates and we need to find the distance between them, we have a formula for finding the distance between two points in a plane, Let us consider the point (2,1)  to be (x,y) and the point (4,-3) to be (a,b)

Let us say that the distance between two points is s,

$s=\sqrt{(x-a)^{2}+(y-b)^{2} } \\s=\sqrt{(2-4)^{2}+(1+3)^{2} } \\s=\sqrt{(-2)^{2}+(4)^{2} } \\s=\sqrt{4+16} \\s=\sqrt{20} \\s=2\sqrt{5}$

The distance between two coordinates is $2\sqrt{5}$