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· og-2
Advanced Geometry · Ptolemy's theorem
Olympiad classic
●●●●● 9/10
~6 min
⏱ 0:00
Equilateral triangle
A
B
C
ABC
A
B
C
is inscribed in a circle, and
P
P
P
lies on arc
B
C
BC
B
C
not containing
A
A
A
. If
P
B
=
3
PB = 3
P
B
=
3
and
P
C
=
5
PC = 5
P
C
=
5
, what is
P
A
PA
P
A
?
ptolemy
cyclic
equilateral
Submit
Hint 1 of 3
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