ABCD is a trapezium such that l || AD and AB = 4 cm. If the diagonals A and BD intersects at O such that AO/OC=DO/OB=1/2 Find BC
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Answer:
Given BC∥AD and AD=4
Let BC=m
Let ∠AOD=x⇒∠COD=x
Let ∠OAD=y⇒∠OCB=y
Let CO=2a⇒OA=a
⇒△OAD and △OCB are similar.
⇒ OD/AD =OC/CB
⇒ a/4=2a/m
⇒m=8
Hence,BC=m=8
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