Art of Problem Solving

Semiperimeter: Difference between revisions

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The '''semiperimeter''' of a figure is literally half of the [[perimeter]], or
The '''semiperimeter''' of a figure is one half of the [[perimeter]], or
<math>\frac{P}{2}</math>, where <math>P</math> is the total perimeter of a figure.
<math>\frac{P}{2}</math>, where <math>P</math> is the total perimeter of a figure.



Revision as of 12:49, 6 July 2006

The semiperimeter of a figure is one half of the perimeter, or $\frac{P}{2}$, where $P$ is the total perimeter of a figure.


Applications

The semiperimeter has many uses in geometeric formulas. Two well known examples are Heron's formula and Brahmagupta's formula. It frequently shows up in triangle problems.