Modification Cross’ Theorem on Triangle with Congruence
International Journal of Theoretical and Applied Mathematics
Volume 4, Issue 5, October 2018, Pages: 40-44
Received: Dec. 29, 2018;
Accepted: Jan. 15, 2019;
Published: Feb. 18, 2019
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M. Rusdi Syawaludin, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Mashadi Mashadi, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Sri Gemawati, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
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Cross’ theorem states if any triangle ABC, on each side constructed a square and vertices of the square are connected, it will form another triangle which has an equal area to triangle ABC. In this paper we will discuss the modification Cross’ theorem on triangle, which is to construct a square outcase direction on each side triangle produced by Cross’ theorem. The purpose of this paper is to modify Cross’ theorem and give simple proof even junior or senior high school can answer. The process of proof is done in simple way, that is using a congruence approach. The result obtained are square vertices that are connected is form a trapezoid and have area 5 times the area of triangle ABC.
Triangle, Square, Congruence, Cross’ Theorem
To cite this article
M. Rusdi Syawaludin,
Modification Cross’ Theorem on Triangle with Congruence, International Journal of Theoretical and Applied Mathematics.
Vol. 4, No. 5,
2018, pp. 40-44.
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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