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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
In each of the figure, we have to find the value of x
`1/(1+c)=d/(d+x)`
By cross multiplication on both sides, we get
`1xx(d+x)=dxx(1+c)`
`d+x=d+dc`
`x=d+dc-d`
`x= cancel(d)+dc-cancel(d)`
`x=dc`
Hence the value of x is dc
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