Semiperimeter
(Redirected from Semi-perimeter)
The semiperimeter of a geometric figure is one half of the perimeter, or , where is the total perimeter of a figure. It is typically denoted . In a triangle, it has uses in formulas for the lengths relating the excenter and incenter.
This article is a stub. Help us out by expanding it.
Applications
The semiperimeter has many uses in geometric formulas. Perhaps the simplest is , where is the area of a triangle and is the triangle's inradius (that is, the radius of the circle inscribed in the triangle).
Two other well-known examples of formulas involving the semiperimeter are Heron's formula and Brahmagupta's formula.