MathDB

6

Part of 2009 South East Mathematical Olympiad

Problems(1)

same circumcircle and inscribed circles

Source:

9/18/2010
Let ⊙O\odot O , ⊙I\odot I be the circumcircle and inscribed circles of triangleABCABC . Prove that : From every point DD on ⊙O\odot O ,we can construct a triangle DEFDEF such that ABCABC and DEFDEF have the same circumcircle and inscribed circles
geometrycircumcirclegeometry proposed