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Poland Contests
Poland - Second Round
1994 Poland - Second Round
5
5
Part of
1994 Poland - Second Round
Problems
(1)
right angle wanted, incircle and angle bisector related
Source: Polish second round 1994 p5
1/19/2020
The incircle
ω
\omega
ω
of a triangle
A
B
C
ABC
A
BC
is tangent to the sides
A
B
AB
A
B
and
B
C
BC
BC
at
P
P
P
and
Q
Q
Q
respectively. The angle bisector at
A
A
A
meets
P
Q
PQ
PQ
at point
S
S
S
. Prove
∠
A
S
C
=
9
0
o
\angle ASC = 90^o
∠
A
SC
=
9
0
o
.
geometry
angle bisector
right angle
incircle