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CBSE Class 9 Answered

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 | 27 Jun, 2019, 11:46: AM
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 Sneha shidid | 28 Jun, 2019, 09:54: AM
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