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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 ?

Text Solution

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The correct Answer is:
`T _(1)` is related to `T _(3).`
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