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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
`x/(x+g)=g/(g+1)`
By cross multiplication on both sides, we get
`x xx(g+1)=gxx(x+g)`
`xg+x=gx+g^2`
`x= gx +g^2-gx`
`x= cancel(gx)+g^2-cancel(gx)`
`x= g^2`
Hence the value of x is `g^2`.
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