MathDB
Problems
Contests
National and Regional Contests
Italy Contests
Italy TST
1997 Italy TST
2
italian team selection test
italian team selection test
Source: Italian TST 1997
May 5, 2017
geometry
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle with
A
B
=
A
C
AB = AC
A
B
=
A
C
. Suppose that the bisector of
∠
A
B
C
\angle ABC
∠
A
BC
meets the side
A
C
AC
A
C
at point
D
D
D
such that
B
C
=
B
D
+
A
D
BC = BD+AD
BC
=
B
D
+
A
D
. Find the measure of
∠
B
A
C
\angle BAC
∠
B
A
C
.
Back to Problems
View on AoPS