Question5. Find the value of $x$ if $A C=4 x-13, D C=2 x+9$, $m \angle E C A=15 x+2$, and $\overline{E C}$ is a median of $\triangle A E D$.
6. If EC is the median and the altitude of $\triangle A E D$, then what el can EC be considered to be?

Studdy Solution
Since $\overline{EC}$ is both a median and an altitude, it must also be the angle bisector of $\angle AED$. In a triangle, if a line segment is both a median and an altitude, it bisects the angle from which it is drawn.
The value of $x$ is $11$.
Additionally, $\overline{EC}$ can be considered an angle bisector.