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The College Mathematics Journal Volume 55, 2024 - Issue 3
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Classroom Capsule

A Two-for-One Deal on Rational Triangles

Ricardo E. RojasNorthern State UniversityCorrespondence[email protected]
, Dr.
Pages 250-252 | Received 21 Jun 2021, Accepted 24 Feb 2022, Published online: 27 Nov 2023
 
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Summary

A rational triangle is a triangle where all side lengths are positive rational numbers. We prove an equivalence between finding rational triangles with a 120° angle and finding pairs of incongruent isosceles rational triangles with both a common perimeter and a common rational area.

Acknowledgment

The author expresses much gratitude for the constructive criticism that improved this manuscript.

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