What Is Olympiad Triangle Geometry?

Explanations 3

• Synthetic Geometry : First Triangle Centers What would be better than solving a challenging geometry problem after spending hours and hours on it, with a completely synthetic so…

  By Zi Song Yeoh, Yan Yau Cheng, Expii Team, Alex Federspiel

• 60 degrees Consider a triangle ABCABCABC, its incenter III, orthocenter HHH, and circumcenter OOO. I hope that you're all familiar with the definitions of the points III, HHH, a…

  By Farrell Eldrian Wu

• Let PPP be a Brocard point of triangle ABCABCABC (PPP satisfies ∠PAB=∠PBC=∠PCA)\angle PAB = \angle PBC = \angle PCA)∠PAB=∠PBC=∠PCA). Let DDD, EEE, and FFF be the second intersec…

  By Kyle Gatesman