Difference between revisions of "Equilateral Triangle Theorem"
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==Proof== | ==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. | + | 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.<ref/> |
==See also== | ==See also== | ||
Revision as of 00:02, March 3, 2017
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.Cite error: The opening <ref> tag is malformed or has a bad name