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Spring 1998 Isosceles Triangles Equal in Perimeter and Area
Paul Yiu
Missouri J. Math. Sci. 10(2): 106-111 (Spring 1998). DOI: 10.35834/1998/1002106


Beginning with the observation that to every non-equilateral, isosceles triangle, there is a unique, noncongruent isosceles triangle with the same perimeter and the same area, we determine all such pairs with integer sides and integer areas. We also determine those pairs in which the sides in each isosceles triangle are relatively prime. Finally, we give an infinite family of pairs of triangles equal in perimeter and in area, one isosceles and one non-isosceles.


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Paul Yiu. "Isosceles Triangles Equal in Perimeter and Area." Missouri J. Math. Sci. 10 (2) 106 - 111, Spring 1998.


Published: Spring 1998
First available in Project Euclid: 23 November 2019

zbMATH: 1097.51512
MathSciNet: MR1626057
Digital Object Identifier: 10.35834/1998/1002106

Rights: Copyright © 1998 Central Missouri State University, Department of Mathematics and Computer Science


Vol.10 • No. 2 • Spring 1998
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