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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, in the box.

 

I got (6 sqrt3) but I am not sure its right :(

 May 1, 2020
 #1
avatar+111329 
+1

We have a 30-60-90 right triangle

 

The hypotenuse =  2/√3  times the side opposite the 60°  angle

 

So

 

9 * 2  /√3  =   18/√3  =   18√3 / 3   =   6√3

 

You are correct   !!!

 

cool cool cool

 May 1, 2020
 #2
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+1

thanks so much!!!

Guest May 1, 2020

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