semiperimeter
Sign in to saveIn geometry, the semiperimeter of a polygon is half its perimeter. Although it has such a simple derivation from the perimeter, the semiperimeter appears frequently enough in formulas for triangles and other figures that it is given a separate name. When the semiperimeter occurs as part of a formula, it is typically denoted by the letter .
~5 min read
Article
10 sectionsContents
- Motivation: triangles
- Properties
- Formulas involving the semiperimeter
- For triangles
- For quadrilaterals
- Regular polygons
- Circles
- See also
- References
- External links
In geometry, the semiperimeter of a polygon is half its perimeter. Although it has such a simple derivation from the perimeter, the semiperimeter appears frequently enough in formulas for triangles and other figures that it is given a separate name. When the semiperimeter occurs as part of a formula, it is typically denoted by the letter .
==Motivation: triangles== thumb|300px|In any triangle, the distance along the boundary of the triangle from a vertex to the point on the opposite edge touched by an excircle equals the semiperimeter.