Inventory020: Heronian triangle with area equal to the square of a side  (proposed by Floor van Lamoen; 12/10/01).

Does there exist a Heronian triangle (with integer sides and integer area) for which the area is equal to the square of one of its sides?

This problem now appears as Problem 26  in the latest issue of Nieuw Archief voor Wiskunde. Solution may be sent to R.J. Fokking (email: r.j.fokkink@its.tudelft.nl).

[FvL](11/22/02): A solution to this problem appeared in Nieuw Archief voor Wiskunde, 3 (2002) 279--280. The solvers showed that there is no such triangle.

Discussion.

Bibliography.

Return to [Polya Home Page] [Members] [Problem Center] [Inventory] [Reserve Area]