ABCD-trapezoid BC: AD as 3: 4 BD = 28 cm find BO and OD (O intersection point of AC and BD).

BC || AD => by the similarity theorem => BC / AD = BO / OD = 3/4 BO / OD = 3/4 => BO / 3 = OD / 4 = BO + OD / 3 + 4 => BO / 3 = OD / 4 = 28/7 => BO = 3 * 28/7 => BO = 12. OD = 4 * 28/7 => OD = 16



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