Viewing posts by Camilla Casamento Tumeo

Thinking Out Loud – EGMO 2014 Problem 2

EGMO 2014, problem 2. Let \(D\) and \(E\) be points in the interiors of sides \(AB\) and \(AC\), respectively, of a triangle \(ABC\), such that \(DB=BC=CE\). Let the lines \(CD\) and \(BE\) meet at \(F\). Prove that the incentre \(I\) of triangle \(ABC\), the orthocentre \(H\) of triangle \(DEF\) and the midpoint \(M\) of the arc \(BAC\) of the circumcircle of triangle \(ABC\) are collinear.

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My EGMO – Camilla

An interview with Camilla Casamento Tumeo on her EGMO experience.

Un'intervista con Camilla Casamento Tumeo sulla sua esperienza alle EGMO.

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