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Mathematics

The diagonals of a parallelogram ABCD intersect each other at point O. If OA = x + y, OC = 20, OD = x + 3 and OB = 18; find the values of x and y.

Quadrilaterals

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Answer

As per the properties of parallelogram, diagonal always bisect each other.

So, OB = OD

The diagonals of a parallelogram ABCD intersect each other at point O. If OA = x + y, OC = 20, OD = x + 3 and OB = 18; find the values of x and y. Special Types of Quadrilaterals, Concise Mathematics Solutions ICSE Class 8.

⇒ x + 3 = 18

⇒ x = 18 - 3

⇒ x = 15

And, OA = OC

⇒ x + y = 20

Putting x = 15

⇒ 15 + y = 20

⇒ y = 20 - 15

⇒ y = 5

Hence, the value of x = 15 and y = 5.

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