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2003 Spain Mathematical Olympiad
Problem 3
Problem 3
Part of
2003 Spain Mathematical Olympiad
Problems
(1)
2003 National Spain Olympiad, Problem 3
Source: 2003 National Spain Olympiad
6/1/2017
The altitudes of the triangle
A
B
C
{ABC}
A
BC
meet in the point
H
{H}
H
. You know that
A
B
=
C
H
{AB = CH}
A
B
=
C
H
. Determine the value of the angle
B
C
A
^
\widehat{BCA}
BC
A
.
geometry
Triangles