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# equiangular triangle

An *equiangular triangle* is one for which all three interior angles are congruent.

By the theorem at determining from angles that a triangle is isosceles, we can conclude that, in any geometry in which ASA holds, an equilateral triangle is regular. In any geometry in which ASA, SAS, SSS, and AAS all hold, the isosceles triangle theorem yields that the bisector of any angle of an equiangular triangle coincides with the height, the median and the perpendicular bisector of the opposite side.

The following statements hold in Euclidean geometry for an equiangular triangle.

Related:

Triangle, IsoscelesTriangle, EquilateralTriangle, RegularTriangle, EquivalentConditionsForTriangles

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Definition

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Reference

## Mathematics Subject Classification

51-00*no label found*

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new question: Lorenz system by David Bankom

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new correction: examples and OEIS sequences by fizzie

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new correction: Define Galois correspondence by porton

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new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

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new correction: Many corrections by Smarandache

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new question: how to contest an entry? by zorba

new question: simple question by parag