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China Team Selection Test
1986 China Team Selection Test
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1986 China Team Selection Test
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China TST 1986 geometry problem on square perimeter
Source: China TST 1986, problem 5
5/16/2005
Given a square
A
B
C
D
ABCD
A
BC
D
whose side length is
1
1
1
,
P
P
P
and
Q
Q
Q
are points on the sides
A
B
AB
A
B
and
A
D
AD
A
D
. If the perimeter of
A
P
Q
APQ
A
PQ
is
2
2
2
find the angle
P
C
Q
PCQ
PCQ
.
geometry
perimeter
trigonometry
angle bisector
congruent triangles
China