According to Turan's Theorem, one of these entities is necessarily formed if four times the number of edges in a graph is greater than the number of vertices squared.
According to Turan's Theorem, one of these entities is necessarily formed if four times the number of edges in a graph is greater than the number of vertices squared. Every two-coloring on a complete 6-graph forms two monochrome examples of these entities. Three lines concur in one of these figures if the conditions for Ceva's ["CHAY-va's] Theorem are met, and the areas of these figures can be found using (*) Heron's formula. The laws of sines and cosines hold true for these shapes, whose areas are equal to base times height over two. For ten points, name these three-sided figures, which come in equilateral and isosceles varieties.
According to Turan's Theorem, one of these entities is necessarily formed if four times the number of edges in a graph is greater than the number of vertices squared.
triangles (prompt on "complete graph", accept complete 3-graph or complete graph on 3 vertices)