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Equilateral Triangle Theorem (view source)
Revision as of 23:14, March 2, 2017
, 23:14, March 2, 2017A stub about a geometric theorem
The '''Equilateral Triangle Theorem''' is a theorem which states that if all three sides of a triangle are equal, then all three angles are equal. It is a corollary of the [[Isosceles Triangle Theorem]].
==Proof==
Assume a triangle ABC of equal sides AB, BC, and CA. By the ITT (Isosceles Triangle Theorem), m∠ABC = m∠BCA, m∠BCA = m∠CAB, and m∠CAB = m∠ABC.<ref>Euclid. ''The Elements''. Book I.
==See also==
*[[Equilateral triangle]]
==References==
{{reflist}}
[[Category:Geometric Theorems]]
==Proof==
Assume a triangle ABC of equal sides AB, BC, and CA. By the ITT (Isosceles Triangle Theorem), m∠ABC = m∠BCA, m∠BCA = m∠CAB, and m∠CAB = m∠ABC.<ref>Euclid. ''The Elements''. Book I.
==See also==
*[[Equilateral triangle]]
==References==
{{reflist}}
[[Category:Geometric Theorems]]