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Given n points in the plane you draw all possible triangles whose vertices are any three of the given points Atleast how many of them are obtuse-angled triangles?
The least number of obtuse triangles, if all possible triangles are drawn for n points in a plane, is zero.
If all the n points lie in a straight line, no triangles are possible and so no obtuse triangles are able to be drawn; thus for any number n, there is a possibility that no obtuse triangles can be drawn, so the least possible number of obtuse triangles drawn is zero.
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