Question

Triangle ABC is divided by DE , As shown below

Answer 1

According to the triangle proportionality theorem, we have,

$\text{if BC}\parallel DE,\text{ }\frac{AD}{AB}=\frac{AE}{EC}$

Substituting the values, we get,

$\begin{gathered} \frac{20}{5}=\frac{16}{x} \\ 4=\frac{16}{x} \\ x=\frac{16}{4}=4 \end{gathered}$

Thus, the value of x is 4.