2010 · Q98
(For the next three questions to follow):
Let ABCD be a quadrilateral. Let the diagonals AC and BD meet at O. Let the perpendicular drawn from A to CD meet CD at E. Further, AO:OC = BO:OD, AB = 30 cm, CD = 40 cm and the area of the quadrilateral ABCD is 1050 cm².
What is BE equal to ?
Elementary MathematicsMensuration
- A30 cm
- B30√2 cm
- C30 √3cm
- DNone of the above
Explanation
Trapezoid with height 30; BE=√(30²+30²)=30√2 cm.