A regular polygon problem
- Dear Friends:
My friend Hipólito Reyes send me a problem from Perú ,
(I don´t know this theorem).
Could somebody help me with this problem?. :
Be a regular polygon of "n" sides, from a point
of incircle (radius r) drawing the perpendicular
segments d1,d2,d3,...,dn to sides.
Prove that: d1^3+d2^2+d3^3+....+dn^3=(5/2)*n*r^3.