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D and E are points on the sides AB and AC respectively of a ∆ABC such that DE || BC. Find the value of x, when AD = 4 cm, DB = (x – 4) cm, AE = 8 cm and EC = (3x – 19) cm. |
Answer» From figure, D and E are the points on the sides AB and AC respectively and DE || BC then AD/DB = AE/EC AD = 4 cm, DB = (x – 4) cm, AE = 8 cm and EC = (3x – 19) cm. AD/DB = AE/EC 4/(x-4) = 8/(3x-19) 4(3x-19) = 8(x-4) Solving, we get x = 11 cm |
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