In the given figure, $D E \| B C$. If $A D=2$ units, $D B=A E=3$ units and $E C=x$ units, then the v

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In the given figure, $D E \| B C$. If $A D=2$ units, $D B=A E=3$ units and $E C=x$ units, then the value of $x$ is :\

Professor PC Thomas Classes · Answer

(d):We have, $D E \| B C, A D=2$ units\ and $D B=A E=3$ units.\ $\Rightarrow \frac{A D}{D B}=\frac{A E}{E C}$\ [By Basic proportionality theorem]\ $\Rightarrow \frac{2}{3}=\frac{3}{x} \Rightarrow 2 x=9 \Rightarrow x=\frac{9}{2}$