Parallel lines

Let M be the midpoint of the side BC of triangle ABC On the side AB and AC the points F and E are chosen. Let K be the points of the intersection of BF and CE and L be chosen in a way that CL is parallel to AB and BL is parallel to CE.Let N be the point of intersection of AM and CL.Show that KN is parallel to FL

Please by synthetic not by analitic

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$