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Problem 10.3
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Source:
February 26, 2011
geometry proposed
geometry
Problem Statement
On the side
B
C
BC
BC
of the triangle
Δ
A
B
C
\Delta ABC
Δ
A
BC
is choosen point
K
K
K
,such that
2
∠
B
A
K
=
3
∠
K
A
C
2\angle BAK=3\angle KAC
2∠
B
A
K
=
3∠
K
A
C
.Prove that
A
B
2
A
C
3
>
A
K
5
AB^2AC^3>AK^5
A
B
2
A
C
3
>
A
K
5
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