# Morley's trisector theorem (area)

## Description

Morley’s trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the first Morley triangle or simply the Morley triangle. (For a positive integer N, an angle of measure 2π/N is trisectible if and only if 3 does not divide N . The first Morley triangle has area related to the circumradius of the original triangle and the angles of the original triangle.

Related formulas## Variables

A_{Morley} | The area of the Morley’s triangle (m^{2}) |

R | The circumradius of the original triangle (m) |

A | The angle of the original triangle opposite to side a (radians) |

B | The angle of the original triangle opposite to side b (radians) |

C | The angle of the original triangle opposite to side c (radians) |