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Diagonals AC and BD of a parallelogram A...

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA= 3 cm and OD = 2 cm, determine the lengths of AC and BD.

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AI Generated Solution

To solve the problem, we need to determine the lengths of the diagonals AC and BD of the parallelogram ABCD, given that the diagonals intersect at point O. We know that OA = 3 cm and OD = 2 cm. ### Step-by-Step Solution: 1. **Understanding the Properties of Parallelograms**: In a parallelogram, the diagonals bisect each other. This means that the point of intersection (O) divides each diagonal into two equal parts. Therefore, we have: - AO = OC - BO = OD ...
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Knowledge Check

  • The given figure shows a parallelogram ABCD whose diagonals intersect each other at point O. if OB=6 cm and AC is 6 cm more than BD, find OC.

    A
    `12cm`
    B
    `10cm`
    C
    `9cm`
    D
    `11cm`

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