Question 10The altitude to the hypotenuse of a $30\text{-}60\text{-}90$ right triangle is divided into two segments of lengths $x \lt y$ by the median to the shortest side of the triangle. What is the ratio $\dfrac{x}{x+y}?$$\dfrac{3}{7}$$\dfrac{\sqrt{3}}{4}$$\dfrac{4}{9}$$\dfrac{5}{11}$$\dfrac{4\sqrt{3}}{15}$