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The legs of a right triangle are lengths x and x√3. The cosine of the smallest angle of the triangle is _____.

A. 1/2 

B. √3

C. (√3)/2

D. 2√3

 Jan 31, 2019
 #1
avatar+4569 
+2

We know that it has to be a 30-60-90 triangle based on the info. The cosine of the smallest angle, which is 30 degrees is adjacent divided by hypotenuse, or \(\frac{\sqrt{3}}{2}\) or (C). The \(2x\) came from across the 90 degree angle.

 Jan 31, 2019
 #2
avatar+116 
+2

Thank you!

Bleh674  Feb 2, 2019
 #3
avatar+4569 
+1

No problem!

tertre  Feb 3, 2019

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