Area of equilateral triangle problem

Here is the problem:

Area of equilateral triangle (advanced)
Khan Academy ~ YouTube

Here's what my tkz-euclide code produces:

And here's the code itself:


\documentclass{standalone}
\usepackage{tkz-euclide}
\usetikzlibrary{calc}
\usepackage{xcolor}
\definecolor{mypink}{RGB}{238,198,217}
\begin{document}
\begin{tikzpicture}[scale=0.1,style/.style={font=\large}]
\newdimen\RA
\newdimen\RB
\RA=0.7cm
\RB=0.2cm
\tkzDefPoint({cos(pi/2)*\RA},{sin(pi/2)*\RA}){A}
\tkzDefPoint({cos(7*pi/6)*\RA},{sin(7*pi/6)*\RA}){B}
\tkzDefPoint({cos(11*pi/6)*\RA},{sin(11*pi/6)*\RA}){C}
\tkzDefPoint({cos(pi/2)*\RB},{sin(pi/2)*\RB}){D}
\tkzDefPoint({cos(7*pi/6)*\RB},{sin(7*pi/6)*\RB}){E}
\tkzDefPoint({cos(11*pi/6)*\RB},{sin(11*pi/6)*\RB}){F}
\tkzFillPolygon[draw,fill=mypink](A,B,C)
\tkzFillPolygon[draw,fill=white](D,E,F)
\tkzLabelSegment[below](B,C){$14$}
\tkzLabelSegment[below](E,F){$4$}
\end{tikzpicture}
\end{document}