Model Builder - Intersect Point Line - Only longest

Hello,

I made a model builder tool for cutting polygons at points using lines for orthogonal cuts.

As a part of the model I use an intersect between the points and the lines.

My problem is that the points are at junctions of multiple lines. I only want a intersect between the point and the longest available line. (See picture)

I didn't find such a switsch directli in the intersect tool. By what approach I could solve the problem?

My phyton skills are moderate by the way :)

Thanks for your help.

By the way, I use ArcGIS 10.1 standard Licence.

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