Show that the relation \( R \) defined in the set \( A \) of all tr...
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Show that the relation \( R \) defined in the set \( A \) of all triangles as \( R=\left\{\left(T_{1}, T_{2}\right): T_{1}\right. \) is similar to \( \left.T_{2}\right\} \), is equivalence relation. Consider three right angle
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triangles \( T_{1} \) with sides \( 3,4,5, T_{2} \) with sides \( 5,12,13 \) and \( T_{3} \) with sides \( 6,8,10 \). Which triangles among \( T_{1}, T_{2} \) and \( T_{3} \) are related?
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