MathDB

Azerbaijan Team Selection Test 2016 First Round

Source: Azerbaijan Team Selection Test 2016 First Round

October 20, 2015

geometry

Problem Statement

The largest side of the triangle

ABC

is equal to

1

unit. Prove that , the circles centred at

A,B

and

C

wit radiuses

\frac{1}{\sqrt{3}}

can compeletely cover the triangle

ABC