Is there a way to split a polygon using overlaid vertices using ArcGIS Desktop?

I am trying to determine parcels that may be used for future development. I have both building and parcel shapefiles. The parcels I'd like to split based on the building vertices. An example is below:

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From this, I'd like to split the parcel based on the building vertex with the maximum distance to the parcel boundary like so:

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closed as unclear what you're asking by PolyGeo Mar 26 '17 at 8:22

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • The furthest vertex from the parcel boundary is vertex no 4, i.e. western most – FelixIP Dec 20 '16 at 22:00
  • It's not clear to me how you are deciding the angle of that line used to split the polygon. – PolyGeo Mar 26 '17 at 8:22