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Q.

Is the following true or false?


In right triangle A B C triangle DEF ∠C=∠F= 90 °   one side and an acute angle ( ∠B   and ∠E  ) are equal to the corresponding sides angles of triangle DEF, such that sinB=sinE,   so ∠B=∠E   then ΔABC~ΔDEF  .


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a

True

b

False 

answer is A.

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Detailed Solution

Given that in triangle ABC and DEF,
Question Image ∠C=∠F= 90 °   sinB=sinE   ∠B=∠E   Thus, by AA criterion, ΔABC~ΔDEF  .
Therefore the correct option is 1.
 
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