Question

Find the missing side length

Answer 1

Missing side length = 54

Explanation:

If both the triangles given in the picture are similar their corresponding sides will be proportional.

By applying this rule in the given similar triangles,

`(35)/(30)=(49)/(42)=(63)/(6x-6)`

`(7)/(6)=(7)/(6)= (63)/(6x-6)`

`(7)/(6)= (63)/(6x-6)`

`(1)/(6)= (9)/(6x-6)`

`(1)/(6)= (9)/(6(x-1))`

`1=(9)/(x-1)`

`x-1=9`

`x=10`

Therefore, missing side length =
`6x-6`

=
`6(x-1)`

=
`6(10-1)`

=
`6* 9`

=
`54`