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6
Isi 2018 problem 6
Isi 2018 problem 6
Source:
May 13, 2018
geometry
Problem Statement
Let,
a
≥
b
≥
c
>
0
a\geq b\geq c >0
a
≥
b
≥
c
>
0
be real numbers such that for all natural number
n
n
n
, there exist triangles of side lengths
a
n
,
b
n
,
c
n
a^{n} , b^{n} ,c^{n}
a
n
,
b
n
,
c
n
. Prove that the triangles are isosceles.
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