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1300
Incenter Distance
Editorial
geometry
triangles
incenter
Let
△
A
B
C
\triangle ABC
△
A
B
C
have side lengths
A
B
=
13
AB = 13
A
B
=
13
,
B
C
=
14
BC = 14
B
C
=
14
, and
C
A
=
15
CA = 15
C
A
=
15
. Let
I
I
I
be the incenter of
△
A
B
C
\triangle ABC
△
A
B
C
. What is the value of
A
I
2
AI^2
A
I
2
?
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