What is the value of x in the diagram?

The altitude of the triangle = 8 * √3/2 = 4√3 = √48

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

Both legs = the altitude

The hypotenuse, x = √ [ (√48)^2 + (√48)^2 ] = √ [48 + 48 ] = √96 = √ [16 * 6 ] = 4√6