Question

If ABCD is parallelogram in which diagonals AC, BD intersect at O. AC=16cm, OC=(x+2)cm then find x.

Answer 1

Answer is 6 .

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Answer 2

Answer:

If ABCD is parallelogram in which diagonals AC, BD intersect at O. AC=16cm, OC=(x+2)cm then  x is 6 cm.

Step-by-step explanation:

ABCD is a parallelogram.

AC and BD bisect each other at point O.  

Where, OC $= x+2cm$

Then, AC = OC + OA

∴  $x + 2 + x + 2 = 16$

$2x + 4 = 16$

$2x = 16 - 4$

$2x = 12$

$x = \frac{12}{2}$

$x = 6 cm$