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Greece Junior Math Olympiad
2017 Greece Junior Math Olympiad
1
1
Part of
2017 Greece Junior Math Olympiad
Problems
(1)
area computational with square (Greece Junior 2017)
Source:
7/15/2019
Let
A
B
C
D
ABCD
A
BC
D
be a square of side
a
a
a
. On side
A
D
AD
A
D
consider points
E
E
E
and
Z
Z
Z
such that
D
E
=
a
/
3
DE=a/3
D
E
=
a
/3
and
A
Z
=
a
/
4
AZ=a/4
A
Z
=
a
/4
. If the lines
B
Z
BZ
BZ
and
C
E
CE
CE
intersect at point
H
H
H
, calculate the area of the triangle
B
C
H
BCH
BC
H
in terms of
a
a
a
.
square
geometry
area of a triangle
areas