MathDB

A red equilateral triangle

T

with side length

1

is drawn on a plane. For a positive real

c

, we place three blue equilateral triangle shaped paper with side length

c

on a plane to cover

T

completely. Find the minimum value of

c

. As shown in the picture, it doesn't matter if the blue papers overlap each other or stick out from

T

. Folding or tearing the paper is not allowed.

Problem Statement