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

Question

3 years ago

11

ts the length of cl answer

1 answer:

TiliK225 [7] · Answer 1 · 2022-03-17T09:41:59+03:00

Answer:

The length of CI is 10 units.

Step-by-step 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.