Let 
be the outermost vertex of the regular pentagon erected
outward on side 
of a reference triangle 
. Similarly, define 
and 
. The triangle 
is then perspective to 
, and the perspector
is known as the outward pentagon point. It is Kimberling
center 
and has equivalent triangle center functions
 |  |  |
(1)
|
 |  | ![1/(a[2Delta+tan(2/5pi)bccosA]),](/images/equations/OuterPentagonPoint/Inline14.svg) |
(2)
|
where 
is the area of the reference triangle.
