A triangular entraceway has walls with corner angles of 50, 70, 60. The designer wants to place a tall bronze sculpture on a round pedestal in a central location equidistant from the three walls. How can the designer find where to place the sculpture?

Answer 1

You would want the incentre of the triangle, which is the intersection of the angle bisector, and which is equidistant from each of the three sides.

So he should bisect any of the two angles and mark where these bisectors meet.