MathDB
Problems
Contests
International Contests
CentroAmerican
1999 CentroAmerican
4
4
Part of
1999 CentroAmerican
Problems
(1)
Area of Trapezoid
Source: CentroAmerican & Caribbean MO 1999 Q4
1/24/2007
In the trapezoid
A
B
C
D
ABCD
A
BC
D
with bases
A
B
AB
A
B
and
C
D
CD
C
D
, let
M
M
M
be the midpoint of side
D
A
DA
D
A
. If
B
C
=
a
BC=a
BC
=
a
,
M
C
=
b
MC=b
MC
=
b
and
∠
M
C
B
=
15
0
∘
\angle MCB=150^\circ
∠
MCB
=
15
0
∘
, what is the area of trapezoid
A
B
C
D
ABCD
A
BC
D
as a function of
a
a
a
and
b
b
b
?
geometry
trapezoid
function
trigonometry
geometry proposed