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2.2
2.2
Part of
2018 PUMaC Live Round
Problems
(1)
2018 PUMaC Live Round 2.2
Source:
1/13/2019
Let
A
B
C
ABC
A
BC
be a triangle with side lengths
13
,
14
,
15
13,14,15
13
,
14
,
15
. The points on the interior of
A
B
C
ABC
A
BC
with distance at least
1
1
1
from each side are shaded. The area of the shaded region can be written in simplest form as
m
n
\tfrac{m}{n}
n
m
. Find
m
+
n
m+n
m
+
n
.
PuMAC
Live Round
geometry