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

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23 votes

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.

Paulguy answered Oct 5, 2023

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