Question

In the accompanying diagram, AC || DE, AB = 4, BC = 6, and BD = 3. What is the length of BE?

Answer 1

In the given triangle ABC The side AC is parallel to DE.

From the Basis Proportionality theorem,

`\begin{gathered} (BD)/(BA)=(BE)/(BC) \\ (3)/(4)=(BE)/(6) \\ BE=(6*3)/(4) \\ BE=4.5 \end{gathered}`

Thus, the requried value of BE is 4.5.