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Questions  >>  CBSE XII  >>  Math  >>  Relations and Functions
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Show that the relation \(R\) defined in the set \(A\) of 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 triangles among \(T_1\, T_2\, and\, T_3\) are related?

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