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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

User Roohan
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1 Answer

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Answer:

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.

User HisDivineShadow
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