Barrow's inequality

Barrow's inequality

In geometry, Barrow's inequality states the following: Let "P" be a point inside the triangle "ABC", "U", "V", and "W" be the points where the angle bisectors of "BPC", "CPA", and "APB" intersect the sides "BC", "CA", "AB", respectively. Then

: PA+PB+PCgeq 2(PU+PV+PW).,

See also

* Euler's theorem in geometry
* Erdős–Mordell inequality

External links

* [http://ultrametric.googlepages.com/tin2006new.pdf Hojoo Lee: Topics in Inequalities - Theorems and Techniques]


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