The distances between an arbitrary point to one of these figures sides and vertices is given by the Erdos-Mordell inequality. The relationship between the sides of one of them cut by a segment is given by Stewart's Theorem. A particular condition for collinearity in these figures is called Menelaus' Theorem, which is the du
The distances between an arbitrary point to one of these figures sides and vertices is given by the Erdos-Mordell inequality. The relationship between the sides of one of them cut by a segment is given by Stewart's Theorem. A particular condition for collinearity in these figures is called Menelaus' Theorem, which is the dual of Ceva's Theorem. A method of finding the area of these figures is a special case of Bramagupta's formula, and relies on finding the difference between each side and the semiperimeter; this is Heron's Formula. Also containing the incenter, circumcenter, and orthocenter, FTP, name these polygons whose area can be found by the formula ½ times b times h.
The distances between an arbitrary point to one of these figures sides and vertices is given by the Erdos-Mordell inequality.
{Triangle} (Accept {3-gon} or {Trigon})