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What is the value of x 

 Nov 19, 2018
 #1
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+1

The triangle on the lft is a 30-60-90 right triangle

 

The altitude   = 8 *  √3/2  =  4√3  = √48

 

Since the triangle on the right is a 45 - 45 - 90 right triangle

The altitude  = the base  = √48 =  length of the legs

 

So..by the Pythagorean Theorem

 

x  = 

 

√ [ ( √48 )^2 + ( √48)^2 ]  = 

 

√96  =

 

√16 * √6  =

 

4√ 6

 

 

 

cool cool cool

 Nov 19, 2018
edited by CPhill  Nov 19, 2018

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