MathDB
Problems
Contests
National and Regional Contests
India Contests
India National Olympiad
2019 India National OIympiad
1
1
Part of
2019 India National OIympiad
Problems
(1)
INMO 2019 P1
Source:
1/20/2019
Let
A
B
C
ABC
A
BC
be a triangle with
∠
B
A
C
>
90
\angle{BAC} > 90
∠
B
A
C
>
90
. Let
D
D
D
be a point on the segment
B
C
BC
BC
and
E
E
E
be a point on line
A
D
AD
A
D
such that
A
B
AB
A
B
is tangent to the circumcircle of triangle
A
C
D
ACD
A
C
D
at
A
A
A
and
B
E
BE
BE
is perpendicular to
A
D
AD
A
D
. Given that
C
A
=
C
D
CA=CD
C
A
=
C
D
and
A
E
=
C
E
AE=CE
A
E
=
CE
. Determine
∠
B
C
A
\angle{BCA}
∠
BC
A
in degrees.
geometry
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