You are here
Home ›equiangular triangle
Primary tabs
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
Type of Math Object:
Definition
Major Section:
Reference
Mathematics Subject Classification
51-00 General reference works (handbooks, dictionaries, bibliographies, etc.)- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)
- Other useful stuff
Recent Activity
May 22
new question: Linear Algebra Combination Problem! by unlord
new question: Computation of $\varphi(2000)$ by jeremyboden
new question: Computation of $\varphi(2000)$ by jeremyboden
May 21
new question: pure subgroups by lvoyster
new correction: Typo in M\"obius function? by Aleph Zero
new collection: analytic number theory by Aleph Zero
May 20
new question: Taylor's Series Query! by unlord
new question: Laplace transform by J
new question: Residue Calculus by J
May 19
new Education: Project: PlanetMath Outlines Series by unlord
new question: Linear Algebra Combination Problem! by unlord
new question: Computation of $\varphi(2000)$ by jeremyboden
new question: Computation of $\varphi(2000)$ by jeremyboden
May 21
new question: pure subgroups by lvoyster
new correction: Typo in M\"obius function? by Aleph Zero
new collection: analytic number theory by Aleph Zero
May 20
new question: Taylor's Series Query! by unlord
new question: Laplace transform by J
new question: Residue Calculus by J
May 19
new Education: Project: PlanetMath Outlines Series by unlord


