Question

What is the distance between (2,3) and (6,10)

Answer 1

$\huge \boxed{ \purple{\mathfrak{solution}}}$

Given:

•Two points are :

(2,3)or (x1,y1)

and

(6,10)or (x2, y2)

To find Distance:

We use distance formula :

D=

$\boxed{ \green{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

Now, put the values :

$\leadsto \: \sqrt{ {(6 - 2)}^{2} + {(10 - 3)}^{2} } \\ \\ \leadsto \: \sqrt{ {(4)}^{2} + {(7)}^{2} } \\ \\ \leadsto \: \sqrt{16 + 49} \\ \\ \leadsto \: \sqrt{65}$

Hence , the distance is

$\boxed{ \bold{ \red{\mathfrak{ \sqrt{65} \: units}}}}$