Yong Zhang and Junyao Peng, Heron triangle and rhombus pairs with a common area and a common perimeter,
Forum Geometricorum, 17 (2017) 419--423.

Abstract. By Fermat's method, we show that there are infinitely many Heron triangle and θ-integral rhombus pairs with a common area and a common perimeter. Moreover, we prove that there does not exist any integral isosceles triangle and θ-integral rhombus pairs with a common area and a common perimeter.

[ps file] [pdf]

Return to Forum Geom., 17 (2017) Table of Contents