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Romania Contests
JBMO TST - Romania
2023 Junior Balkan Team Selection Tests - Romania
P5
P5
Part of
2023 Junior Balkan Team Selection Tests - Romania
Problems
(1)
Trapezoid and squares
Source: First Romanian JBMO TST 2023 P5
4/14/2023
Outside of the trapezoid
A
B
C
D
ABCD
A
BC
D
with the smaller base
A
B
AB
A
B
are constructed the squares
A
D
E
F
ADEF
A
D
EF
and
B
C
G
H
BCGH
BCG
H
. Prove that the perpendicular bisector of
A
B
AB
A
B
passes through the midpoint of
F
H
FH
F
H
.
geometry