On extriangles and excevians
Date of Publication
2009
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with specialization in Business Applications
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Arlene A. Pascasio
Defense Panel Chair
Ederlina G. Nocon
Defense Panel Member
Leonor A. Ruivivar
Mark Anthony A. Garcia
Abstract/Summary
This thesis is an exposition of the articles Extriangles and Excevians by Larry Hoehn published in Mathematics Magazine Volume 74, Number 5, 2001 and A Geometric Proof of Heron's Formula by Shannon Umberger found in http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Umberger/MATH7200/HeronFormulaProject/GeometricProof/geoproof.htm. The first article extends some concurrency theorems of cevians of triangles to extriangles and the second gives a geometric proof of Heron's Formula. In this thesis elementary geometric proofs of the theorems stated in the articles are provided. Moreover, a geometric proof of the area formula of a triangle in terms of the lengths of its medians using the results on extriangles and excevians is discussed.
Abstract Format
html
Language
English
Format
Accession Number
TU15130
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
58 leaves, illustrations (some color), 28 cm.
Keywords
Triangle; Geometry, Plane
Recommended Citation
Fajardo, P. D., & Fulo, J. D. (2009). On extriangles and excevians. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/5031
Embargo Period
3-30-2021
