RAMACHANDRAN, A
(2018)
Mapping
triangle shapes.
At Right Angles, 7 (2).
pp. 6771.
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 2dimensional ‘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 Xaxis and Yaxis, respectively, of
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