MathDB
Isi 2018 problem 6

Source:

May 13, 2018
geometry

Problem Statement

Let, abc>0a\geq b\geq c >0 be real numbers such that for all natural number nn, there exist triangles of side lengths an,bn,cna^{n} , b^{n} ,c^{n}. Prove that the triangles are isosceles.