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India IOQM
2020-21 IOQM India
7
IOQM 2021 Problem 7
IOQM 2021 Problem 7
Source:
January 17, 2021
Problem Statement
Let
△
A
B
C
\triangle ABC
△
A
BC
be a triangle with
A
B
=
A
C
AB=AC
A
B
=
A
C
. Let
D
D
D
be a point on the segment
B
C
BC
BC
such that
B
D
=
48
1
61
BD= 48 \frac{1}{61}
B
D
=
48
61
1
and
D
C
=
61
DC=61
D
C
=
61
. Let
E
E
E
be a point on
A
D
AD
A
D
such that
C
E
CE
CE
is perpendicular to
A
D
AD
A
D
and
D
E
=
11
DE=11
D
E
=
11
. Find
A
E
AE
A
E
.
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