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Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2012 India PRMO
10
10
Part of
2012 India PRMO
Problems
(1)
2012 preRMO p10, 2 equilaterals inside a square
Source:
6/16/2019
A
B
C
D
ABCD
A
BC
D
is a square and
A
B
=
1
AB = 1
A
B
=
1
. Equilateral triangles
A
Y
B
AYB
A
Y
B
and
C
X
D
CXD
CX
D
are drawn such that
X
X
X
and
Y
Y
Y
are inside the square. What is the length of
X
Y
XY
X
Y
?
geometry