From the diagram, we know that AC is 2, and AD is sqrt3. We can also find DC which is (2^2) - (sqrt3^2)= 1. Since DC is 1, BD is also 1. We also know that BXD and ACD are similar. The corresponding sides BD and AD have the ratio's 1:sqrt 3 respectively. So if CD is 1, then it's corresponding side XD will be 1/sqrt 3 which simplifies to \(\frac{\sqrt{3}}{3}\) which is your answer.