Find the value of the expression $\frac{AF}{FD}$.

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In the given figure $AC=BD=3$ units and $CE=DE=1$ unit.

Find the value of the expression $\frac{AF}{FD}$.

We know that the median divides the area of a triangle in to two equal halves.

Therefore,

AREA $\triangle ECD$ = $\frac{1}{2}$$\frac{1}{2}$(AREA $\triangle EAD$)

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Let $r$ be the bisector of $\angle AEB$. By simmetry, $F$ can be defined as $AD\cap r$. So $\frac{AF}{FD}=\frac{AE}{ED}=4$.