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KoMaL A Problems
KoMaL A Problems 2018/2019
A. 729
A. 729
Part of
KoMaL A Problems 2018/2019
Problems
(1)
Another cyclic quad
Source: KoMaL A. 729
10/11/2018
In a cyclic quadrilateral
A
B
C
D
ABCD
A
BC
D
, the diagonals meet at point
E
E
E
, the midpoint of side
A
B
AB
A
B
is
F
F
F
, and the feet of perpendiculars from
E
E
E
to the lines
D
A
,
A
B
DA,AB
D
A
,
A
B
and
B
C
BC
BC
are
P
,
Q
P,Q
P
,
Q
and
R
R
R
, respectively. Prove that the points
P
,
Q
,
R
P,Q,R
P
,
Q
,
R
and
F
F
F
are concyclic.
geometry