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Show that the relation `R` defined on the set `A` of all triangles in a plane as `R={(T_1,\ T_2): T_1` is similar to `T_2)` is an equivalence relation. Consider three right angle triangle `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?

A

`T_(1), T_(2)`

B

`T_(1),T_(3)`

C

`T_(3),T_(2)`

D

`T_(1),T_(2),T_(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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