Your answer; ABCD is a ||gm, therefore, AD = BC and given OB/OD = 1/2 In triangle AOD and BOD, AD || BC AD || BE
thus, ADO = OBE [ alternate interior angles ] DAO = OEB
triangle ADO is similar to triangle EBO OD/OB = AD/BE taking reciprocals from both sides, OB/OD = BE/AD 1/2 = 1.5/AD [ But AD = BC ] 1/2 = 1.5/BC BC = 3cm.
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Your answer;ABCD is a ||gm, therefore, AD = BC
and given OB/OD = 1/2
In triangle AOD and BOD,
AD || BC
AD || BE
thus, ADO = OBE [ alternate interior angles ]
DAO = OEB
triangle ADO is similar to triangle EBO
OD/OB = AD/BE
taking reciprocals from both sides,
OB/OD = BE/AD
1/2 = 1.5/AD [ But AD = BC ]
1/2 = 1.5/BC
BC = 3cm.