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Korea Junior Mathematics Olympiad
2024 Korea Junior Math Olympiad (First Round)
2
2
Part of
2024 Korea Junior Math Olympiad (First Round)
Problems
(1)
Geometry with calculation
Source: 2024 Korea Junior Math Olympiad _1
10/26/2024
There is an isosceles triangle which follows the following:
A
B
ˉ
=
A
C
ˉ
=
5
,
B
C
ˉ
=
6
\bar{AB}=\bar{AC}=5, \bar{BC}=6
A
B
ˉ
=
A
C
ˉ
=
5
,
BC
ˉ
=
6
D,E are points on
A
C
ˉ
\bar{AC}
A
C
ˉ
which follows
A
D
ˉ
=
1
,
E
C
ˉ
=
2
\bar{AD}=1, \bar{EC}=2
A
D
ˉ
=
1
,
EC
ˉ
=
2
If the extent of
△
\triangle
△
BDE = S, Find 15S.
geometry