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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
`a/(a+1)=b/(b+x)`
By cross multiplication on both sides, we get
`axx(b+x)=bxx(a+1)`
`ab+ax=ab+b`
`ax=ab+b-ab`
`ax=cancel(ab)+b-cancel(ab)`
`ax=b`
`x=b/a`
Hence the value of x is `b/a`
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