Heron triangle and rhombus pairs with a common area and a common perimeter
- Resource Type
- Working Paper
- Authors
- Zhang, Yong; Peng, Junyao
- Source
- Subject
- Mathematics - Number Theory
- Language
By Fermat's method, we show that there are infinitely many Heron triangle and $\theta$-integral rhombus pairs with a common area and a common perimeter. Moreover, we prove that there does not exist any integral isosceles triangle and $\theta$-integral rhombus pairs with a common area and a common perimeter.
Comment: 5 pages