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D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC. Find the value of x, when

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D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC. Find the value of x, when

AD = (7x – 4) cm, AE = (5x – 2) cm, DB = (3x + 4) cm and EC = 3x cm.

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In Δ ABC, it is given that DE || BC.

Applying Thales’ theorem, we have :

∵ x ≠ 1/3 (as if x = 1/3 ℎ )

∴ x = 4 cm

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