Question

A triangle has vertices on a coordinate grid at D(-5, -2), E(-5,4), andF(-1,4). What is the length, in units, of DE?

Answer 1

To find the length of DE,

Here D = (-5,-2) and E = (-5,4).

Hence the distance is given by

$DE=\sqrt[]{(-5+5)^2+(4+2)^2}$

On simplifying,

$\begin{gathered} DE=\sqrt[]{6^2} \\ DE=6 \end{gathered}$

Hence the length of DE is 6 units