Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{17} \: \: units}}}}}[/tex]
Explanation:
Let the points be A and B
Let A ( 2 , 4 ) be ( x₁ , y₁ ) and B ( 1 , 0 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {(1 - 2)}^{2} + {(0 - 4)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 1)}^{2} + {( - 4)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{1 + 16}}} [/tex]
[tex] \longrightarrow{ \sf{ \sqrt{17} }}[/tex] units
Hope I helped!
Best regards! :D
