Question 23In $\triangle ABC,$ we have $AB=1$ and $AC=2.$ Side $BC$ and the median from $A$ to $BC$ have the same length. What is $BC?$$\dfrac{1+\sqrt{2}}{2}$$\dfrac{1+\sqrt{3}}{2}$$\sqrt{2}$$\dfrac{3}{2}$$\sqrt{3}$