12 pieces of pizza for 7 brothers
Source: 2005 Estonia National Olympiad Final Round grade 10 p1
April 13, 2020
geometry
Problem Statement
Seven brothers bought a round pizza and cut it piece as shown in the figure. Of the six elder brothers, each took one piece of the shape of an equilateral triangle, the remaining edge pieces by the older brothers did not want, was given to the youngest brother. Did the youngest brother get it more or less a seal than his every older brother?
https://cdn.artofproblemsolving.com/attachments/0/7/2efaec7dab171b8bb239dc8eb282947a5c44b0.png