MathDB

2

Part of 1995 Bulgaria National Olympiad

Problems(1)

tangent to the circumcircle

Source: Bulgarian Olympiad, 1995

8/21/2008
Let triangle ABC has semiperimeter p p. E,F are located on AB such that CE\equal{}CF\equal{}p. Prove that the C-excircle of triangle ABC touches the circumcircle (EFC).
geometrycircumcirclegeometry proposed