Question

In the figure below, the segment is parallel to one side of the triangle. Find the value of x 1.5 15 18 24

Answer 1

Applying basis proportionality theorem,

`\begin{gathered} (x)/(12)=(x+6)/(16) \\ \Rightarrow16x=12x+72_{} \\ \Rightarrow4x=72 \\ \Rightarrow x=18 \end{gathered}`

Thus, the required value of x is 18.