Question: 8. Let a(t) s b(t) s c(t) be the lengths of the three sides of a triangle t in a non-decreasing order. Define the following

8. Let a(t) s b(t) s c(t) be the lengths of

8. Let a(t) s b(t) s c(t) be the lengths of the three sides of a triangle t in a non-decreasing order. Define the following sets: . T: The set of all triangles. X: The set of all triangles in which a(t) = b(t). Y: The set of all triangles in which b(t) c(t). Using only set operations on these three set, define the following sets. Justify your answer (a) The set of all equilateral triangles (all sides equal). (b) The set of all isosceles triangles (at least two sides equal). (c) The set of all scalene triangles (no two sides equal)

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