MathDB

5

Part of 1989 Chile National Olympiad

Problems(1)

altitude in a triangle with rational sides, defines rational segments

Source: 1st Chile MO 1989 p5

5/26/2019
The lengths of the three sides of a △ABC \triangle ABC are rational. The altitude CD CD determines on the side ABAB two segments AD AD and DB DB . Prove that AD,DB AD, DB are rational.
geometryrationalaltitude