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Washington State
University

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

WEBS 11

November 4, Monday, 4:10 - 5:00 PM

Jakob Streipel

Department of Mathematics and Statistics

Washington State University

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

WEBS 11

November 4, Monday, 4:10 - 5:00 PM

Jakob Streipel

Department of Mathematics and Statistics

Washington State University

Title: Constructing infinitely many rational right
triangles of the same area

Abstract: The congruent number problem asks the question: given a natural number, is it the area of a rational right triangle? This is an unresolved problem with deep connections to algebraic geometry and number theory. In this talk we ask a simpler question (given one rational right triangle with integer area, are there infinitely many?) and give an elementary answer using Euclidean geometry.

Abstract: The congruent number problem asks the question: given a natural number, is it the area of a rational right triangle? This is an unresolved problem with deep connections to algebraic geometry and number theory. In this talk we ask a simpler question (given one rational right triangle with integer area, are there infinitely many?) and give an elementary answer using Euclidean geometry.