In triangle $ABC$, $BC = 20 \sqrt{3}$ and $\angle C = 30^\circ$. Let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. Find the length of $DE$.

Answer 1

I don't understand your question with all of the $ in it.

Can you eliminate the $ and use a more recognized symbol?

Answer 2

The $ are a part of Latex, which is a math language used by some. This question is one in Alcumus, a set of problems set to the user in the website, AoPS. Do not answer this question, for this question is a direct question from Alcumus, and giving the answer will not enable the learner to read. The rules on Alcumus clearly states no use of website, etc...