Prove that there is only one triangle whose sides are consecutive natural numbers and one of the angles is twice the other angle.
Problem
Source: Indonesia INAMO Shortlist 2008 G8
Tags: geometry, consecutive, equal angles, Integers
Source: Indonesia INAMO Shortlist 2008 G8
Tags: geometry, consecutive, equal angles, Integers
Prove that there is only one triangle whose sides are consecutive natural numbers and one of the angles is twice the other angle.