Question

in parallelogram abcd diagonals ac and bd intersect at point l . If Al= x-2 and ac =3x-16 , then which of the following represents the length of cl answer

Answer 1

The length of CI is 10 units.

Explanation:

It is given that ABCD is a parallelogram and diagonals AC and BD intersect at point I.

The diagonals of a parallelogram bisect each other.

`AI=CI`

`AC=AI+CI`

`AC=AI+AI`
`[\because AI=CI]`

`AC=2AI`

`3x-16=2(x-2)`

`3x-16=2x-4`

`3x-2x=16-4`

`x=12`

The value of x is 12.

`CI=AI=x-2=12-2=10`

Therefore the length of CI is 10 units.