MathDB

6

Part of 2018 ISI Entrance Examination

Problems(1)

Isi 2018 problem 6

Source:

5/13/2018
Let, a≥b≥c>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.
geometry