MathDB
Problems
Contests
National and Regional Contests
Ukraine Contests
Random Geometry Problems from Ukrainian Contests
Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1990.11.3
AC=? AC// CD=AB=1, <ABC = 90^o, <CBD=30^o 1990 Kyiv City MO 11.3
AC=? AC// CD=AB=1, <ABC = 90^o, <CBD=30^o 1990 Kyiv City MO 11.3
Source:
July 18, 2021
geometry
Problem Statement
The side
A
C
AC
A
C
of triangle
A
B
C
ABC
A
BC
is extended at segment
C
D
=
A
B
=
1
CD = AB = 1
C
D
=
A
B
=
1
. It is known that
∠
A
B
C
=
9
0
o
\angle ABC = 90^o
∠
A
BC
=
9
0
o
,
∠
C
B
D
=
3
0
o
\angle CBD = 30^o
∠
CB
D
=
3
0
o
. Calculate
A
C
AC
A
C
.
Back to Problems
View on AoPS