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
$\frac{1}{1+\text{h}}=\frac{\text{x}}{\text{x}+1}$By cross multiplication on both sides, we get
$1\times(\text{x}+1)=\text{x}\times(1+\text{h})$
$\text{x}+1=\text{x}+\text{hx}$
$\text{x}+1-\text{x}=\text{hx}$
$1=\text{xh}$
$\frac{1}{\text{h}}=\text{x}$
Hence the value of x is $\frac{1}{\text{h}}.$
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