Clarification regarding the geometry problem "Be Cautious".

According to the problem, points D,E,F,M,N lie on sides BC,CA,AB,AD,BE respectively. FM=2 MN=1 and NC=3 => FN=2+1=3 and NC=3. Also AE=EC (given) => AF // EN But F belongs to AB and N belongs to BE => Sides AF and EN have point B in common. How to resolve this contradiction?

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}`	$\boxed{123}$