Several non-overlapping isosceles triangles have vertex O in common.Every triangle shares an edge with each immediate neighbour.The smallest of the angles at O has size m0 (\(m\in Z^+\)) and the other triangles have angles at O of size 2m0,3m0,4m0 and so on.The diagram shows an arrangement of 5 such triangles.Prove that 3 is the smallest value of m for such a set of triangles exists. 96 72 48 24 120
Several non-overlapping isosceles triangles have vertex O in common.Every triangle shares an edge with each immediate neighbour.The smallest of the angles at O has size m0 (\(m\in Z^+\)) and the other triangles have angles at O of size 2m0,3m0,4m0 and so on.The diagram shows an arrangement of 5 such triangles.Prove that 3 is the smallest value of m for such a set of triangles exists.
96 72 48 24 120
