Show that the relation R, defined in the set A of all triangles as $R = (T_1, T_2):T_2$ is similar to $T_2$}, is equivalence relation. Consider three right triangles $T_1$ , with sides 3, 4, 5; $T_2$ with sides 5, 12, 13 and $T_3$ with sides 6, 8, 10. Which triangle among $T_1, T_2 \: and T_3$ are related?

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