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2016 Junior Regional Olympiad - FBH
3
Junior Regional Olympiad - FBH 2016 Grade 8 Problem 3
Junior Regional Olympiad - FBH 2016 Grade 8 Problem 3
Source:
September 29, 2018
geometry
trapezoid
Problem Statement
In trapezoid
A
B
C
D
ABCD
A
BC
D
holds
A
D
∣
∣
B
C
AD \mid \mid BC
A
D
∣∣
BC
,
∠
A
B
C
=
3
0
∘
\angle ABC = 30^{\circ}
∠
A
BC
=
3
0
∘
,
∠
B
C
D
=
6
0
∘
\angle BCD = 60^{\circ}
∠
BC
D
=
6
0
∘
and
B
C
=
7
BC=7
BC
=
7
. Let
E
E
E
,
M
M
M
,
F
F
F
and
N
N
N
be midpoints of sides
A
B
AB
A
B
,
B
C
BC
BC
,
C
D
CD
C
D
and
D
A
DA
D
A
, respectively. If
M
N
=
3
MN=3
MN
=
3
, find
E
F
EF
EF
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