Knowra Equilateral triangle Equilateral triangle An equilateral triangle has three equal sides and three equal interior angles, each measuring 60 degrees. Its symmetry makes it both equilateral and equiangular.
Linked from 32 pages Orthocenter Broader topic : Its orthocenter coincides with its centroid, circumcenter, and incenter.
Fermat point Related : Torricelli's construction uses equilateral triangles erected on the sides of the original triangle.
Napoleon's theorem Narrower topic : The constructed triangles are equilateral, and their centers become the theorem's vertices.
Euler line Compared with : Its circumcenter, centroid, and orthocenter coincide, so no unique Euler line is determined.
Incircle Broader topic : Its incenter, circumcenter, centroid, and orthocenter coincide, simplifying incircle calculations.
Triangle centers Related : All four classical centers coincide in this symmetric case.
Viviani's theorem Narrower topic : Equal side lengths let the three area terms share one common base.
Nine-point circle Broader topic : Its center points coincide, so the nine-point circle is concentric with its circumcircle and has half its radius.
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