Areas in convex quadrilateral
DOI:
https://doi.org/10.55630/mem.2026.55.171-176Keywords:
convex quadrilateral, area, ratioAbstract
The concept of area is first introduced in primary school. As they go through secondary education, students delve deeper into the essence of area problems. The more advanced and interesting aspects are mainly explored in specialized Mathematics High Schools and within extracurricular math courses. In the current article, we’ll prove two well-known problems. We will then solve two geometry problems on convex quadrilaterals using parameters instead of concrete constants. The goal is to demonstrate quick and elegant solutions to a group of problems with a convex quadrilateral divided into smaller quadrilaterals. We will also provide ideas for creating similar problems.
References
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В. В. Прасолов, Задачи по планиметрии, Москва, МЦНМО, 2006. [V. V. Prasolov, 2D geometry problems, Moscow, МЦНМО, 2006.] (in Russian)
