Q. 1 D

# D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.If and EC = 3.5 cm, find AE.

Given: AD/AB = 8/15 or AD = 8 cm, AB = 15 cm, and EC = 3.5 cm

By applying Thale’s Theorem,

8×(AE + 3.5) = 15×AE

8×AE + 28 = 15×AE

15×AE – 8×AE = 28

7×AE = 28

AE = 28/7 = 4

Hence, AE is 4 cm.

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