**Morley's triangle** was discovered by Frank Morley in 1899.

Take any triangle and trisect its three angles. These trisectors define a smaller triangle inside the first one, known as the **Morley's triangle** of that triangle. It is always equilateral.

Last modified on 4 February 2011, at 15:07
# Trigonometry/Circles and Triangles/Morley's Triangle

**Morley's triangle** was discovered by Frank Morley in 1899.

Take any triangle and trisect its three angles. These trisectors define a smaller triangle inside the first one, known as the **Morley's triangle** of that triangle. It is always equilateral.