MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad
1962 All-Soviet Union Olympiad
11
Maximum Area of a Triangle
Maximum Area of a Triangle
Source: 1962 All-Soviet Union Olympiad
January 15, 2018
geometry
Russia
Problem Statement
The triangle
A
B
C
ABC
A
BC
satisfies
0
≤
A
B
≤
1
≤
B
C
≤
2
≤
C
A
≤
3
0\le AB\le 1\le BC\le 2\le CA\le 3
0
≤
A
B
≤
1
≤
BC
≤
2
≤
C
A
≤
3
. What is the maximum area it can have?
Back to Problems
View on AoPS