Question

Show that the relation R defined in the set A of all triangles as R = {(T1, T2) :T1
is similar to T2}, is equivalence relation. Consider three right angle triangles T1 with sides 3, 4, 5, T2
with sides 5, 12, 13 and T3
with sides 6, 8, 10. Which
triangles among T1, T2 and T3 are related?

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