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- Title
A Problem in Area.
- Authors
Hess, Dick; Liu, Andy
- Abstract
This article, titled "A Problem in Area," is from the Mathematics Competitions journal. The problem presented in the article involves trisecting two sides of a triangle and joining the trisection points to the opposite vertex, creating a convex quadrilateral. The article discusses two possible approaches to finding the area of this quadrilateral in terms of the area of the triangle. The authors provide coordinates and formulas for calculating the area of the quadrilateral. The article concludes with a solution that involves using affine transformation and computing the areas of various polygons. The authors, Dick Hess and Andy Liu, are experienced mathematicians and contributors to Mathematics Competitions.
- Subjects
RECREATIONAL mathematics; MATHEMATICS contests; ANALYTIC geometry; AFFINE transformations; TRIANGLES; TENNIS tournaments
- Publication
Mathematics Competitions, 2023, Vol 36, Issue 2, p33
- ISSN
1031-7503
- Publication type
Article