Question

What is the length of segment DE?

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ D(\stackrel{x_1}{a}~,~\stackrel{y_1}{-2b})\qquad E(\stackrel{x_2}{4a}~,~\stackrel{y_2}{0})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ DE=√((4a-a)^2+( ~~ 0-(-2b)~~)^2)\implies DE=√((3a)^2+(2b)^2)`