JURNAL MATHEMATIC PAEDAGOGIC
Vol 3, No 1 (2018): September 2018

PENGEMBANGAN TEOREMA SAWAYAMA-THEBAULT MENGGUNAKAN EXCENTER

Surlina Surlina (Unknown)
Mashadi Mashadi (Unknown)
Sri Gemawati (Unknown)



Article Info

Publish Date
15 Jun 2018

Abstract

AbstractA triangle have special lines, such as angle bisectors and perpendicular bisector.These special lines are concurrent with their corresponding concurrent points, and called incenter, excenter and circumcenter. This paper discusses how to prove the collinear point of Sawayama-Thebault’s circle using excenter. Then, it is proved the three points collinear using simple ways, like similarity triangles and Thales theorem.Keywords: Sawayama-Thebault’s theorem, excenter, collinearAbstrakSegitiga memiliki beberapa garis-garis istimewa, diantaranya garis bagi, dan garis sumbu. Garis-garis istimewa ini kongkuren dan masing-masing titik kongkuren disebut incenter, excenter dan circumcenter . Pada makalah ini dibahas kolinearitas titik pusat lingkaran Sawayama-Thebault menggunakan excenter. Pembuktian kekolinearitas menggunakan konsep geometri sederhana, yakni kesebangunan segitiga dan teorema Thales.Kata kunci: Teorema Sawayama-Thebault, excenter, kolinearitas

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Journal Info

Abbrev

jmp

Publisher

Subject

Education Mathematics

Description

Journal of Mathematics Paedagogic (JMP) contains about the research result and the study result in the field of matehematics education, pure mathematics, and applied mathematics. This journal has been published since september 2010, but it repackaged the volume in ...