Publication:
Dividing the Perimeter of a Triangle into Unequal Proportions

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Issued Date

2022

Resource Type

Article

Language

eng

File Type

application/pdf

ISSN

1611712

DOI

10.1155/2022/2751666

Rights Holder(s)

Scopus

Bibliographic Citation

World Journal on Educational Technology: Current Issues. Vol 14, No.5 (2022), p.1452-1468

Suggested Citation

Amadtohed N., Chaidee T., Racha-In P., Theerakarn T. Dividing the Perimeter of a Triangle into Unequal Proportions. World Journal on Educational Technology: Current Issues. Vol 14, No.5 (2022), p.1452-1468. doi:10.1155/2022/2751666 Retrieved from: https://hdl.handle.net/20.500.14740/9156

Title

Dividing the Perimeter of a Triangle into Unequal Proportions

Author(s)

Amadtohed N.
 Chaidee T.
 Racha-In P.
 Theerakarn T.

Abstract

We fully describe the envelope of all line segments that divide the perimeter of a triangle into the ratio α:1-α as α varies from 0 to 1/2. If α is larger than the ratio of the longest side length to the perimeter, then the envelope is a 12-sided closed curve consisting of six line segments and six parabolic arcs. For other values of α, the envelope is the union of one to three parabolic arcs and possibly a 5- or 9-sided nonclosed curve consisting of line segments and parabolic arcs. © 2022 Nawinda Amadtohed et al.

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URI

https://hdl.handle.net/20.500.14740/9156

Collections

Scopus: Year 2022

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