Abstract
Much has been written on triangles having areas and perimeters of equal numerical value. Markowitz (1981) determined that only five triangles having sides with integral lengths exist for which the areas equal the perimeters, but that infinitely many have rational side lengths. (Throughout this article, when it is stated that triangles have equal area and perimeter, it means that they are numerically equal.) Markowitz (1981) and Bates (1979) both determine equations satisfied by triangles having equal areas and perimeters, but these equations can only be used through trial and error. The purpose of this article is to find a method that will easily generate any number of triangles of equal area and perimeter, and also geometrically characterize such triangles.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
