Question
In the figure given below, a line segment is drawn parallel to one side of the triangle and the lengths of certain line-segment are marked. Find the value of $x$ in the following:
✓
Answer
In figure $(i)$
$DE || BC$
$\therefore\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}$
$\Rightarrow\frac{1}{\text{c}}=\frac{\text{d}}{\text{x}}$
$\therefore\text{x}=\text{cd}$
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