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In right triangle $BCD$ with $\angle D = 90^\circ$, we have $BC = 10$ and $BD = 8$.  Find $\sin B$.

 Aug 18, 2023
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In right triangle $BCD$ with $\angle D = 90^\circ$, we have $BC = 10$ and $BD = 8$.  Find $\sin B$.     

 

     sin(B) = 0.6000     

 

D is the right angle.  So BD and CD are the legs and BC is the hypotenuse.     

 

Note that this is a right triangle where one leg is 8 and the hypotenuse is 10.     

 

We immediately recognize a Pythagoras Triplet and the other leg must be 6.     

 

The sine is the opposite over the hypotenuse, so sin(B) = 6 / 10.     

.     

 Jul 8, 2025

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