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Mathematics

In the given figure, ABCD is a parallelogram. If OA = 6 cm and AC - BD = 2 cm; find the length of BD.

Quadrilaterals

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Answer

In a parallelogram, diagonal always bisect each other.

So, OA = $\dfrac{1}{2}$ AC

⇒ AC = 2 times OA

⇒ AC = 2 x 6 cm

⇒ AC = 12 cm

It is given that AC - BD = 2 cm

⇒ 12 - BD = 2

⇒ BD = 12 - 2

⇒ BD = 10

Hence, the length of BD is 10 cm.

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