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Undergraduate Paper Session

Undergraduate Paper Session #1.5

Subevent of Undergraduate Paper Session #1

Times: Starts at 2026 Mar 27 03:20PM (Central Time (US & Canada))

On a Simple Geometric Problem

Tyrique Lambert <tyriquel@email.sc.edu>, University of South Carolina Salkehatchie

Abstract:

For a random parallelogram ABCD with AB parallel to DC, if BD intersects CE at F, where E is a random point on AB, what is the area of ADFE if the areas of CBF and EBF are provided? This geometric problem seems simple, but finding the solution is not easy. In this talk, we will explore some properties regarding area of triangles, area of trapezoids, and similar triangles. We then will use these properties, including one only requires middle school mathematics knowledge, to find the solution.

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