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D and E are points on the sides AB and AC respectively of a ∆ABC such that DE || BC. If AD/DB = 4/7 and AC = 6.6 cm, find AE. |
Answer» From given triangle, points D and E are on the sides AB and AC respectively such that DE || BC. AD/DB = 4/7 or AD = 4 cm, DB = 7 cm, and AC = 6.6 By Thale’s Theorem: AD/DB = AE/EC Add 1 on both sides AD/DB + 1 = AE/EC + 1 (AD + DB)/DB = (AE + EC)/EC (4+7)/7 = AC/EC = 6.6/EC EC = (6.6 x 7)/11 = 4.2 And, AE = AC – EC AE = 6.6 – 4.2 AE = 2.4 cm |
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