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One angle of a right triangle measures 60°. The side opposite this angle measures 9 inches. What is the length of the hypotenuse of the triangle? Enter your answer, in simplest radical form

 Feb 12, 2020

Best Answer 

 #1
avatar+36916 
+2

sin 60 = opp / hyp

sqrt3/2  =  9 / hyp    

 

hyp = 9 / (sqrt3/2 )    and simplify......

 Feb 12, 2020

4+0 Answers

 #1
avatar+36916 
+2
Best Answer

sin 60 = opp / hyp

sqrt3/2  =  9 / hyp    

 

hyp = 9 / (sqrt3/2 )    and simplify......

ElectricPavlov Feb 12, 2020
 #2
avatar+8 
+1

So it would be 3sqrt6?

 Feb 12, 2020
 #3
avatar+128474 
+1

9 / [ sqrt (3) / 2 ]  =

 

 

(9/1) * (2 /sqrt 3 )  =

 

18 / sqrt 3  =

 

18 sqrt (3 ) / 3  =

 

6sqrt (3)

 

 

cool cool cool

CPhill  Feb 12, 2020
 #4
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One angle of a right triangle measures 60°. The side opposite this angle measures 9 inches. What is the length of the hypotenuse of the triangle? Enter your answer, in simplest radical form.

 

sin(60°) = 9 / hypo   =  10.39230485 inches laugh

Is it radical enough? wink

 Feb 13, 2020

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