30-60-90 Right Triangle: Side Ratios

Triangles $BAR$ and $BAE$ share the hypotenuse $BA.$ $BAR$ is a $45-45-90$ right triangle, while $BAE$ is a $30-60-90$ right triangle with $\angle EBA$ being the $30$-degree angle. How can we compare the lengths of $BR$ and $EA?$