MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2014 ASDAN Math Tournament
23
2014 General #23
2014 General #23
Source:
July 5, 2022
2014
General Test
Problem Statement
Let triangle
A
B
C
ABC
A
BC
have side lengths
A
B
=
11
AB=11
A
B
=
11
,
B
C
=
7
BC=7
BC
=
7
, and
A
C
=
12
AC=12
A
C
=
12
. Let
D
D
D
be a point on
A
C
AC
A
C
and
E
E
E
be a point on
A
B
AB
A
B
such that
∠
C
D
E
=
9
0
∘
\angle CDE=90^\circ
∠
C
D
E
=
9
0
∘
and the area of triangle
C
D
E
CDE
C
D
E
is maximized. Find the area of triangle
C
D
E
CDE
C
D
E
.
Back to Problems
View on AoPS