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2
SMT 2020 Geometry #2
SMT 2020 Geometry #2
Source:
August 9, 2023
geometry
Problem Statement
Let
△
A
B
C
\vartriangle ABC
△
A
BC
be a right triangle with
∠
A
B
C
=
9
0
o
\angle ABC = 90^o
∠
A
BC
=
9
0
o
. Let the circle with diameter
B
C
BC
BC
intersect
A
C
AC
A
C
at
D
D
D
. Let the tangent to this circle at
D
D
D
intersect
A
B
AB
A
B
at
E
E
E
. What is the value of
A
E
B
E
\frac{AE}{BE}
BE
A
E
?
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