Problem 5

Part of 2004 Spain Mathematical Olympiad

Problems(1)

National Spain Olympiad 2004, Problem 5

Source: National Spain Olympiad 2004

Demonstrate that the condition necessary so that, in triangle

{ABC}

, the median from

{B}

is divided into three equal parts by the inscribed circumference of a circle is:

{A/5 = B/10 = C/13}

geometrymedianInscribed circle