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All Journal MATHunesa: Jurnal Ilmiah Matematika Journal of Mathematics, Computation and Statistics (JMATHCOS)
Lamuda, Zulfatra
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Mathematics

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PEMBUKTIAN TEOREMA THALES DENGAN MENGGUNAKAN BILANGAN KOMPLEKS Lamuda, Zulfatra
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

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Abstract

Teorema Thales merupakan salah satu teorema yang cukup terkenal dalam geometri. Teorema ini menyatakan jika sebuah segitiga dibentuk di dalam sebuah setengah lingkaran dimana diameternya adalah salah satu sisi segitiga maka segitiga tersebut adalah segitiga siku-siku. Tulisan ini akan menyajikan pembuktian teorema Thales dengan menggunakan pendekatan bilangan kompleks.
Application of Complex Numbers to Prove Several Theorems in Plane Geometry Lamuda, Zulfatra; Asriadi, Asriadi; Panigoro, Hasan S.
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9273

Abstract

Geometry is a branch of mathematics that focuses on studying the characteristics of flat and spatial structures. One of the most well-known standard flat structures is the circle. Additionally, there are triangles formed by the intersection of three line segments. This study discusses the proofs of two theorems related to circles and triangles: the radius of the circumcircle of a triangle and Heron’s theorem. Heron’s theorem is used to determine the area of an arbitrary triangle. Unlike the conventional synthetic geometry approach, this article employs an alternative method, namely complex numbers, to prove these two central theorems.
Co-Authors Asriadi Asriadi Hasan S. Panigoro