MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2017 ASDAN Math Tournament
7
2017 Guts #7
2017 Guts #7
Source:
November 25, 2022
2017
Guts Round
Problem Statement
Point
C
C
C
is chosen on the arc of a semicircle with diameter
A
B
AB
A
B
. The two circles with diameters of
A
C
AC
A
C
and
B
C
BC
BC
intersect again at point
D
D
D
. If
D
A
=
20
DA=20
D
A
=
20
and
D
B
=
16
DB=16
D
B
=
16
, compute the length of
D
C
DC
D
C
.
Back to Problems
View on AoPS