Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Half the length of a perimeter.
Etymologies
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Examples

They are 6 25 29 7 15 20 9 10 17 These three cases can be veri ﬁ ed using Heron's formula: Area = s s − a s − b s − c where a b, and c are the lengths of the sides and s is the semiperimeter.

Then AM = CN = (the semiperimeter of ABC minus side AC), and the theorem above applies, and thus DQ is an angle bisector of triangle DEF.

But when M and N are semiperimeter points in triangle ABC, then Q is the Nagel point.

The semiperimeter of the triangle (in units) is a root of the equation x2 − 32x + 240 = 0.
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