2017 · Q89
ABCD is a rectangle. The diagonals AC and BD intersect at O. If AB = 32 cm and AD = 24 cm, then what is the length of OD ?
Elementary MathematicsQuadrilaterals and Polygons
- A22 cm
- B20 cm
- C18 cm
- D16 cm
Explanation
This uses the rectangle diagonal property. AC = √(32² + 24²) = √(1024 + 576) = √1600 = 40 cm (a 3-4-5 triangle scaled by 8). The diagonals of a rectangle bisect each other, so OD is half of diagonal BD = AC: 20 cm. Option (a) 22 cm has no geometric basis — a pure guess trap. Hence option (b).