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ABCD is a rectangle. The diagonal AC and BD intersect at O. If AB = 32 cm and AD = 24 cm, then what is OD equal to?
  • a)
    22 cm
  • b)
    20 cm
  • c)
    18 cm
  • d)
    16 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
ABCD is a rectangle. The diagonal AC and BD intersect at O. If AB = 32...

In triangle ABD;
BD2 = 242 + 322
⇒ BD2 = 576 + 1024 = 1600
⇒ BD = 40 cm
Since the diagonals of the rectangle bisect each other;
∴ OD = 40/2 = 20 cm
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ABCD is a rectangle. The diagonal AC and BD intersect at O. If AB = 32 cm and AD = 24 cm, then what is OD equal to?a)22 cmb)20 cmc)18 cmd)16 cmCorrect answer is option 'B'. Can you explain this answer?
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