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What is the value of x in the diagram?

 

 Apr 6, 2019
 #1
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The triangle on the left is a 30-60-90 right triangle

 

The side oppsite the 30° angle  (in this case, the altitude of both triangles)  = 

(1/2) (hypotenuse )  = (1/2)(2√3)  =  √3

 

Now... the triangle on the right is a 45-45-90 right triangle....with both legs = √3

 

So....using the Pythagorean Theorem,  x  =  √ [ (√3)^2 + (√3)^2 ]  = √ [ 3 + 3 ]  =  √6

 

 

cool cool cool

 Apr 6, 2019

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