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5
2000 HMMT RMT Geometry # 5
2000 HMMT RMT Geometry # 5
Source:
March 3, 2024
geometry
Problem Statement
Side
A
B
‾
=
3
\overline{AB} = 3
A
B
=
3
.
△
A
B
F
\vartriangle ABF
△
A
BF
is an equilateral triangle. Side
D
E
‾
=
A
B
‾
=
A
F
‾
=
G
E
‾
\overline{DE} =\overline{ AB} = \overline{AF} = \overline{GE}
D
E
=
A
B
=
A
F
=
GE
,
∠
F
E
D
=
6
0
o
\angle FED = 60^o
∠
FE
D
=
6
0
o
,
F
G
=
1
FG = 1
FG
=
1
. Calculate the area of
A
B
C
D
E
ABCDE
A
BC
D
E
. https://cdn.artofproblemsolving.com/attachments/e/9/0ac1a88b4a83cdf3d562af0ce11b5ddbc5b8bc.png
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