Question

Triangle ABC is divided by DE , As shown below

Answer 1

According to the triangle proportionality theorem, we have,

`\text{if BC}\parallel DE,\text{ }(AD)/(AB)=(AE)/(EC)`

Substituting the values, we get,

`\begin{gathered} (20)/(5)=(16)/(x) \\ 4=(16)/(x) \\ x=(16)/(4)=4 \end{gathered}`

Thus, the value of x is 4.