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