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Austrian MO Beginners' Competition
2008 Austria Beginners' Competition
4
4
Part of
2008 Austria Beginners' Competition
Problems
(1)
<BAC=? if bisector of <BAC, B-altitude and perp. bisector of AB concur
Source: 2008 Austria Beginners' Competition p4
10/12/2022
Let
A
B
C
ABC
A
BC
be an acute-angled triangle with the property that the bisector of
∠
B
A
C
\angle BAC
∠
B
A
C
, the altitude through
B
B
B
and the perpendicular bisector of
A
B
AB
A
B
intersect in one point. Determine the angle
α
=
∠
B
A
C
\alpha = \angle BAC
α
=
∠
B
A
C
.
geometry
angles
concurrency
concurrent