Modification of the Inner Cross Theorem on Crossed Quadrilateral

Nour Fitri; Mashadi; Sri Gemawati

doi:https://doi.org/10.14445/22315373/IJMTT-V69I2P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 2 | Year 2023 | Article Id. IJMTT-V69I2P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I2P507

Modification of the Inner Cross Theorem on Crossed Quadrilateral

Nour Fitri, Mashadi, Sri Gemawati

Received	Revised	Accepted	Published
26 Dec 2022	31 Jan 2023	12 Feb 2023	20 Feb 2023

Abstract

This article discusses the inner development of Cross's Theorem on crossed quadrilaterals. By doing two steps, namely expanding the square leads inward once and twice. The proof is based on the rule of sines and the rule of cosines. The achieved result for a one-time expansion is \ |LΔBFG - LΔDKJ| = L◻ABCD and |LΔLAE - LΔICH| = L ◻ABCD and for double expansion, the difference between L ◻EFON and L ◻IJSR is equal to 2L◻ABCD and the difference between L KLMT and L GHQP is zero.

Keywords

Crossed Quadrilateral, Sine and Cosine, Cross Theorem.

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Citation :

Nour Fitri, Mashadi, Sri Gemawati, "Modification of the Inner Cross Theorem on Crossed Quadrilateral," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 2, pp. 53-60, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I2P507