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

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.

Thank you!

No problem!