Answer to Question #136665 in Geometry for Hazel

Question

Point D is on line segment \overline{CE}

CE

. Given CE=18

CE=18 and CD=12,

CD=12, determine the length \overline{DE}.

DE

.

Answer 1

Here is the Sketch

$\overline{CD} + \overline{DE} = \overline{CE}$ (segment addition postulate)

But,

$CD = 12$ And

$CE =18$

$\therefore 12 +DE = 18$ (plugging in known values)

$DE = 18 - 12$

$\overline{DE} = 6$ (final answer)