Mapping triangle shapes

Ramachandran, A. (2018) Mapping triangle shapes. At Right Angles, 7 (2). pp. 67-71. ISSN 2582-1873

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Abstract

Triangles are of different shapes. The shape of a triangle is determined by its angles, or, alternatively, by the ratios of its sides. We shall focus on the angle aspect now. To fix its shape, it is enough if two angles of a triangle are specified. So we could have a 2-dimensional ‘map’ where every point stands for a possible triangle shape and every possible shape is represented by a point in the map. For convenience, we could take the greatest and least angles of the triangle to be the variables. Let us denote the angles of the triangle as α, β and γ, satisfying the relation α ≥ β ≥ γ. We could represent α and γ on the X-axis and Y-axis, respectively, of

Item Type: Articles in APF Magazines
Authors: Ramachandran, A.
Document Language:
Language
English
Uncontrolled Keywords: Triangles, Angles, Acute, Right, Obtuse, Sides, Inequalities, limits, Maps
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjiuniversity.edu.in/id/eprint/1426
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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