Question

BCD is a Trapezium such that BC|AD andAB =4 cm.If the diagonals AC and BD intersect at o such that AO/OC =DO/OB=1/2,then BC =

Answer 1

Step-by-step explanation:

Given

BC parallel to AD

,

and

AD=4

Let

BC=m

Let

∠AOD=x

,

⇒∠COB=x

Let

∠OAD=y,

⇒∠OCB=y

Let CO=2a,⇒OA=1a

⇒ΔOAD,andΔOCBare similar,

⇒OAAD=OCCB

⇒1a4=2am ⇒m=8

Hence, BC=m=8