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Show that the relation R, defined in the...

Show that the relation R, defined in the set of A all triangles as R = `{(T_(1), T_(2)):T_(1)`, is similar to `T_(2)`}, is equivalence relation. Consider three right angle 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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The correct Answer is:
`T_(1)` and `T_(3)`
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