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 :

Answer 1

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