1
Part of 2017 Azerbaijan EGMO TST
Problems(2)
The finite integer set which is closed
Source: Azerbaijan EGMO TST 2017, D1 P1
7/31/2023
is an integer set with a finite number of elements. Among any three elements of this set, it is always possible to choose two such that the sum of these two numbers is an element of How many elements can have at most?
setnumber theory
PB = PA + PC, equilateral , iff form (2009 Indonedia MO Province P2 q4 OSP)
Source:
12/11/2020
Given an equilateral triangle and a point so that the distances to and to are not farther than the distances to . Prove that if and only if lies on the circumcircle of .
geometrycircumcircleEquilateral