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In \triangle PQR, we have \angle P = 90^\circ, PQ=3, and QR = 5. Find \tan R.

 Apr 4, 2025
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In \triangle PQR, we have \angle P = 90^\circ, PQ=3, and QR = 5. Find \tan R.   

 

By Pythagoras  PR2 = QR2 – PQ2    

 

                          PR  =  sqrt(25 9)  =  4     

 

                       tan R  =  opposite over adjacent  =  3 / 4      

 

                       tan R  =  0.7500    

 

If you draw / label the triangle, the answer becomes clear.    

I'd like to show you, but I don't know how to post a picture.   

.    

 Apr 16, 2025

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