in trapezium ABCD if AB perpendicular to CD and AB=3 CD find the ratio of the areas of triangle AOB triangle COD
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Answer:
In △AOB & COD
∠AOB=∠COD ...Given
∠OAB=∠OCD ...Given
∠OBA=∠ODC ...Given
△AOB∼△COD ...by AAA test of similarity
By theorem on ratio of areas of similar triangles,
A(△COD)
A(△AOB)
=(
CD
AB
)
2
A(△COD)
A(△AOB)
=(
1
3
)
2
=
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