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Russia Contests
Novosibirsk Oral Olympiad in Geometry
2017 Novosibirsk Oral Olympiad in Geometry
6
6
Part of
2017 Novosibirsk Oral Olympiad in Geometry
Problems
(1)
ratio of bases in trapezoid ABCD, DC=DK (2017 Novosibirsk Oral Geo Oly 8-9 p6)
Source:
4/26/2021
In trapezoid
A
B
C
D
ABCD
A
BC
D
, diagonal
A
C
AC
A
C
is the bisector of angle
A
A
A
. Point
K
K
K
is the midpoint of diagonal
A
C
AC
A
C
. It is known that
D
C
=
D
K
DC = DK
D
C
=
DK
. Find the ratio of the bases
A
D
:
B
C
AD: BC
A
D
:
BC
.
ratio
geometry
trapezoid