Modification of the Cross Theorem on Non-Convex Quadrilateral

Saniyah; Mashadi; Sri Gemawati

doi:https://doi.org/10.14445/22315373/IJMTT-V68I7P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 7 | Year 2022 | Article Id. IJMTT-V68I7P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I7P507

Modification of the Cross Theorem on Non-Convex Quadrilateral

Saniyah, Mashadi, Sri Gemawati

Received	Revised	Accepted	Published
07 Jun 2022	06 Jul 2022	14 Jul 2022	19 Jul 2022

Abstract

This article discusses the modification of the Cross Theorem on a non-convex quadrilateral by expanding the outward square twice, thus forming four new two-dimentional figure. The proof is done using the sine and cosine rules. The result obtained is that the difference in the area of the two-dimentional figure that faces each other obtained from the Cross Theorem on a non-convex quadrilateral is equal to four times the area of the original quadrilateral.

Keywords

Non-Convex, Sine and Cosine, Cross Theorem.

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Citation :

Saniyah, Mashadi, Sri Gemawati, "Modification of the Cross Theorem on Non-Convex Quadrilateral," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 7, pp. 43-51, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I7P507