Question

Find the distance of segment NP given its two endpoints: N(8, 14) and P(-21, -39).

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{8}~,~\stackrel{y_1}{14})\qquad P(\stackrel{x_2}{-21}~,~\stackrel{y_2}{-39})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ NP=√((~~-21 - 8~~)^2 + (~~-39 - 14~~)^2) \implies NP=√(( -29 )^2 + ( -53 )^2) \\\\\\ NP=√( 841 + 2809 ) \implies NP=√( 3650 )\implies NP\approx 60.42`