To give equal importance to all three entrances, let's place the office equidistant from all three.
If we draw a circle with radius OE_1=OE_2=OE_3 and center O, this will pass through E_1, E_2, and E_3.
Thus, we are looking for the circumcenter of triangle â–ł E_1E_2E_3.
The Circumcenter Theorem tells us how to find the circumcenter of a triangle. It is the intersection point of the perpendicular bisectors of the sides of the triangle.
If the architects want the office to be equidistant from all entrances, they should place it at the intersection points of the perpendicular bisectors of the segments connecting the entrances.
