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Problems
Contests
National and Regional Contests
Austria Contests
Austrian MO National Competition
1990 Federal Competition For Advanced Students, P2
6
6
Part of
1990 Federal Competition For Advanced Students, P2
Problems
(1)
compute the distance
Source: Austria 1990
7/10/2009
A convex pentagon
A
B
C
D
E
ABCDE
A
BC
D
E
is inscribed in a circle. The distances of
A
A
A
from the lines
B
C
,
C
D
,
D
E
BC,CD,DE
BC
,
C
D
,
D
E
are
a
,
b
,
c
,
a,b,c,
a
,
b
,
c
,
respectively. Compute the distance of
A
A
A
from the line
B
E
BE
BE
.
trigonometry
geometry proposed
geometry