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Korea Junior Mathematics Olympiad
2023 Korea Junior Math Olympiad
8
8
Part of
2023 Korea Junior Math Olympiad
Problems
(1)
Covering equilateral triangle
Source: KJMO 2023 P8
11/4/2023
A red equilateral triangle
T
T
T
with side length
1
1
1
is drawn on a plane. For a positive real
c
c
c
, we place three blue equilateral triangle shaped paper with side length
c
c
c
on a plane to cover
T
T
T
completely. Find the minimum value of
c
c
c
. As shown in the picture, it doesn't matter if the blue papers overlap each other or stick out from
T
T
T
. Folding or tearing the paper is not allowed.
geometry