ABCD is a rectangle. The diagonals AC and BD intersect at O

ABCD is a rectangle. The diagonals AC and BD intersect at O. If AB = 32 cm and AD = 24 cm, then what is OD equal to?

  1. 22 cm
  2. 20 cm
  3. 18 cm
  4. 16 cm

Answer

OD is the half length of the diagonal of the rectangle.

You can calculate the length of diagonal of rectangle using pythagoras theorem as

BD2 = AB2 + AD2

BD2 = (8×4)2 + (8×3)2

BD = 40 cm

OD = BD/2

OD = 20 cm

The correct option is B.