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solong [7]
3 years ago
11

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

ts the length of cl answer
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

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.

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