Question

Question Find the distance between the points A(13, 2) and B(7, 10)?

Answer 1

The distance is 10 units

Answer 2

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{13}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{10})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√((~~7 - 13~~)^2 + (~~10 - 2~~)^2) \implies AB=√(( -6 )^2 + ( 8 )^2) \\\\\\ AB=√( 36 + 64 ) \implies AB=√( 100 )\implies AB=10`