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In quadrilateral ABCD, the diagonals AC and BD intersect at O with OA = OC = 6 cm and OB = OD = 8 cm, but AC is not perpendicular to BD.
How long is diagonal BD (in cm) and what shape is ABCD?
Give the length of BD.

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • A15
  • B16
  • C32
  • D17

Step-by-Step Solution

OB = OD = 8, so BD = OB + OD = 16 cm. Since both diagonals bisect each other, ABCD is a parallelogram (not a rhombus, as diagonals are not perpendicular).
Answer: B) 16

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