Question

Find the distance between the points (2,3) and(4,1)​

Answer 1

Given:

• Points are : ( 2 , 3) and ( 4 , 1 ) .

To find :

• Distance between the points .

Solution :

As we know that :

$\star \boxed { \red{ \bold{ D \: = \sqrt{ ({x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }}}$

Here ,

• x1 = 2 and y1 = 3

• x2= 4 and y2= 1.

Now , put this value in the formula :

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

Hence, the distance between the points is √8 .

Answer 2

Answer:

2$\sqrt{2}$

Step-by-step explanation:

the given points are (2,3) (1,4)

let x1=2  y1=3

    x2=4  y2=1

distance between two points=$\sqrt{(x2-x1)^2+(y2-y1)^2}$

     =$\sqrt{(4-2)^2+(1-3)^2}$

     =$\sqrt{(2)^2+(-2)^2}$

     =$\sqrt{4+4}$

     =$\sqrt{8}$

     =2$\sqrt{2}$