Morley's Triangle

Morley's Theorem states that in any triangle, if you trisect each of the three angles (divide each angle into three equal parts), then the points where the adjacent trisectors meet (one from each angle) form an equilateral triangle. This triangle is called Morley's triangle.

Important properties

• Morley's triangle is always equilateral, no matter the shape of the original triangle.

• The construction uses the intersection points of adjacent angle trisectors.

• This result is surprising because it works for every triangle, not just special ones.