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7
2016 Geometry #7
2016 Geometry #7
Source:
August 11, 2022
2016
Geometry Test
Problem Statement
The side lengths of triangle
A
B
C
ABC
A
BC
are
13
13
13
,
14
14
14
, and
15
15
15
. Let
I
I
I
be the incenter of the triangle. Compute the product
A
I
⋅
B
I
⋅
C
I
AI\cdot BI\cdot CI
A
I
⋅
B
I
⋅
C
I
.
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