Q. 1 C4.3( 16 Votes )

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.



If and AC = 6.6 cm, find AE.

Answer :

Given: AD/DB = 4/7 or AD = 4 cm, DB = 7 cm, and AC = 6.6

Applying Thale’s Theorem,



We have AE at RHS but we need AC, as the value of AC is given. So by adding 1 to both sides of the equation, we can get the desired result







EC = 4.2


AE is given by,


AE = AC – EC


AE = 6.6 – 4.2


AE = 2.4


Hence, AE is 2.4 cm.


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