#1**0 **

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

CPhill Apr 6, 2019