Comparison of Areas Formed from Angle Trisectors on Any Nonconvex Quadrilateral


Authors : Rysfan; Mashadi; Sri Gemawati

Volume/Issue : Volume 8 - 2023, Issue 9 - September

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://tinyurl.com/3pvfuc5j

DOI : https://doi.org/10.5281/zenodo.8386054

Abstract : Angular trisectors were originally discussed for Morleey's theorem on the existence of equilateral triangles formed from the intersection of trisectors. This trisector has been developed by several authors on convex quadrilaterals. However, no one has developed in detail on nonconvex quadrilaterals. In this paper, the author will determine the side lengths of angle trisectors on nonconvex quadrilaterals in various cases. At the end, a comparison of the area of triangles formed from the construction of angle trisectors on nonconvex quadrilaterals is also given, which will be described in several cases.

Keywords : Area Comparison, Angle Trisectors, Nonconvex Quadrilaterals.

Angular trisectors were originally discussed for Morleey's theorem on the existence of equilateral triangles formed from the intersection of trisectors. This trisector has been developed by several authors on convex quadrilaterals. However, no one has developed in detail on nonconvex quadrilaterals. In this paper, the author will determine the side lengths of angle trisectors on nonconvex quadrilaterals in various cases. At the end, a comparison of the area of triangles formed from the construction of angle trisectors on nonconvex quadrilaterals is also given, which will be described in several cases.

Keywords : Area Comparison, Angle Trisectors, Nonconvex Quadrilaterals.

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