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ABCD is a trapezium in which AB||CD and AB=2CD.If its diagonals intersect each other at O, find ratio of areas of triangle AOB and triangle COD.

Asked by Barman.rachna 27th June 2019, 11:46 AM
Answered by Expert
Answer:
Given that AB || CD and AB = 2CD
angle OAB = angle OCD            alternate angles
angle OBA = angle ODC            alternate angles
ΔAOB ~ ΔCOD                          AA similarity criterion
ar(ΔAOB)/ar(ΔCOD) = (AB/CD)2 = (2/1)2 = 4/1 i.e. 4:1.
Answered by Expert 28th June 2019, 9:54 AM
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