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Undergraduate Paper Session

‟On a Simple Geometric Problem” by Tyrique Lambert <tyriquel@email.sc.edu>, University of South Carolina Salkehatchie (Accepted)
Coauthors:

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.

Scheduled for: 2026-03-27 03:20 PM: Undergraduate Paper Session #1.5 in Computing and Math 315