Question

PINK is a parallelogram. Its diagonals PN and IK intersect at O. Its diagonal PN is (2x - 6) cm long and ON is 9 cm. What is the value of x?

Answer 1

Answer:

12 cm

Step-by-step explanation:

as diagonals of parallelogram bisect each other

PO=ON

PO=9cm

PN=PO+ON

2x-6=9+9

2x-6=18

2x=18+6

2x=24

x=24/2

therefore,

x=12

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Answer 2

The value of x is 12 cm.

Step-by-step explanation:

• We know that in a parallelogram, diagonals bisect at a point.
• Here, according to the given information, PINK is a parallelogram and PN and IK are its diagonals.
• PN, that is an entire diagonal is (2x - 6) cm long and ON is 9 cm., which is the half of PN as diagonals bisect each other at the point O of the parallelogram PINK and ON = ON or we can say that PN = twice of ON.
• Then the diagonal PN that is (2x - 6) cm = 2 * (9 cm.)
• Now, 2x-6 = 18

Or, 2x = 18 + 6

Or, 2x = 24

Or, x = 12.

Thus, the value of x is 12 cm.

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