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12
Inscribed Circle
Inscribed Circle
Source:
December 18, 2005
geometry
incenter
trigonometry
angle bisector
Problem Statement
The inscribed circle of triangle
A
B
C
ABC
A
BC
is tangent to
A
B
‾
\overline{AB}
A
B
at
P
,
P,
P
,
and its radius is 21. Given that
A
P
=
23
AP=23
A
P
=
23
and
P
B
=
27
,
PB=27,
PB
=
27
,
find the perimeter of the triangle.
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