Because all other polygons are made from triangles as for example an 8 sided octagon has 6 triangles within it or a 6 sided hexagon has 4 triangles within it.
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You have to specifically give the problem with the dots, but it can form all equilateral triangles.. .. . .. . . .
No. But all isosceles triangles and equilateral triangles are.
Yes, any polygon can be composed using only triangles.
Yes. But not all isosceles triangles are equilateral.
They are rigid structures: the side lengths determine their shape uniquely. This is one reason that triangles are used in structures - for bracing,