Question 34
In the figure below, $ABC$ is an equilateral paper triangle with side $1\ \mathrm{m}$ that was folded along the segment $EF$ so that the vertex $A$ fell on the side $BC$, at the point $D$ in the figure. Suppose that $DF$ is perpendicular to $BC$.
a) Determine the angle $\angle AED$.
b) Determine the length of the segment $CD$.
c) Determine the ratio between the areas of the triangles $AEF$ and $ABC$.
a) Determine the angle $\angle AED$.
b) Determine the length of the segment $CD$.
c) Determine the ratio between the areas of the triangles $AEF$ and $ABC$.