1995 IMO Problems/Problem 3

Problem

Determine all integers $n>3$ for which there exist $n$ points $A_1,\ldots,A_n$ in the plane, no three collinear, and real numbers $r_1,\ldots,r_n$ such that for $1\le i<j<k\le n$ , the area of $\triangle A_iA_jA_k$ is $r_i+r_j+r_k$ .

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

1995 IMO (Problems) • Resources
Preceded by Problem 2	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 4
All IMO Problems and Solutions

Page

Toolbox

Search

1995 IMO Problems/Problem 3

Problem

Solution