Question

2. In the figure, BC || DE. What is AE? F 2 3 2 H6 3 G 3 J7 I

Answer 1

Using the basic theorem of proportionality, we can express the following

$\frac{BD}{AD}=\frac{CE}{AE}$

Using the given information, we have

$\frac{3}{2+3}=\frac{4}{AE}$

Let's solve for AE

$\begin{gathered} AE=\frac{4\cdot5}{3} \\ AE=\frac{20}{3} \\ AE=6\frac{2}{3} \end{gathered}$

Hence, the answer is H.