MathDB

9

Part of 1992 AIME Problems

Problems(1)

Nice Trapezoid Problem

Source:

2/14/2006
Trapezoid ABCDABCD has sides AB=92AB=92, BC=50BC=50, CD=19CD=19, and AD=70AD=70, with ABAB parallel to CDCD. A circle with center PP on ABAB is drawn tangent to BCBC and ADAD. Given that AP=mnAP=\frac mn, where mm and nn are relatively prime positive integers, find m+nm+n.
geometrytrapezoidAMCAIMEincenternumber theoryrelatively prime