Peer reviewed
Direct linkERIC Number: EJ1007725
Record Type: Journal
Publication Date: 2013-Jan
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0746-8342
EISSN: N/A
When Can One Expect a Stronger Triangle Inequality?
Faiziev, Valerii; Powers, Robert; Sahoo, Prasanna
College Mathematics Journal, v44 n1 p24-31 Jan 2013
In 1997, Bailey and Bannister showed that a + b greater than c + h holds for all triangles with [gamma] less than arctan (22/7)where a, b, and c are the sides of the triangle, "h" is the altitude to side "c", and [gamma] is the angle opposite c. In this paper, we show that a + b greater than c + h holds approximately 92% of the time for all triangles with [gamma] less than [pi]/2.
Descriptors: Geometric Concepts, College Mathematics, Mathematics Instruction, Mathematical Formulas
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
