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Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1989.9.1
1989.9.1
Part of
Kyiv City MO 1984-93 - geometry
Problems
(1)
area wanted, incircle related 1989 Kyiv City MO 9.1
Source:
7/17/2021
The perimeter of the triangle
A
B
C
ABC
A
BC
is equal to
2
p
2p
2
p
, the length of the side
A
C
AC
A
C
is equal to
b
b
b
, the angle
A
B
C
ABC
A
BC
is equal to
β
\beta
β
. A circle with center at point
O
O
O
, inscribed in this triangle, touches the side
B
C
BC
BC
at point
K
K
K
. Calculate the area of the triangle
B
O
K
BOK
BO
K
.
geometry
area
incircle