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Question
In each of the figures [(i)-(iv)] 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 each of the following :
Solution
`1/(1+h)=x/(x+1)`
By cross multiplication on both sides, we get
`1xx(x+1)=x xx(1+h)`
`x+1=x+hx`
`x+1-x=hx`
`cancelx+1-cancelx=hx`
`1=xh`
`1/h=x`
Hence the value of x is `1/h`.
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