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

`(BD)/(AD)=(CE)/(AE)`

Using the given information, we have

`(3)/(2+3)=(4)/(AE)`

Let's solve for AE

`\begin{gathered} AE=(4\cdot5)/(3) \\ AE=(20)/(3) \\ AE=6(2)/(3) \end{gathered}`

Hence, the answer is H.