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19
Spring 2020 Team Round Problem 19
Spring 2020 Team Round Problem 19
Source:
August 22, 2020
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle such that such that
A
B
=
14
,
B
C
=
13
AB=14, BC=13
A
B
=
14
,
BC
=
13
, and
A
C
=
15
AC=15
A
C
=
15
. Let
X
X
X
be a point inside triangle
A
B
C
ABC
A
BC
. Compute the minimum possible value of
(
2
A
X
+
B
X
+
C
X
)
2
(\sqrt{2}AX+BX+CX)^2
(
2
A
X
+
BX
+
CX
)
2
.
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