Hello, vegasgunner!
We have 30-60-90 right triangles.
Knowing the $\displaystyle 1\text{-}2\text{-}\sqrt{3}$ ratios of the sides,Code:B o 1 * * D *60 o * *_ * 2 * *√3 * 3 *30* * * * * ** 60 30 * C o * * * *_ * * * o A 2√3
We can let $\displaystyle BD = 1$ and determine the lengths of all the segments.
Now you can calculate the areas of the triangles and their ratio.