A new gym is to be located that same distance from three schools. You have a compass and straightedge and a map with points A, B and C representing the three schools. How can you locate the new gym? Construct the angle bisectors of triangle ABC and find their point of concurrency.
Construct an inscribed circle inside triangle ABC.
Construct the perpendicular bisectors of the sides of triangle ABC and find their point of concurrency.
Construct the incircle of triangle ABC.