Q. 1 A3.9( 57 Votes )
D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.
If AD = 3.6 cm, AB = 10 cm and AE = 4.5 cm, find EC and AC.
Answer :
Given: AD = 3.6 cm, AB = 10 cm and AE = 4.5 cm.
Applying Thale’s Theorem,
⇒ 
⇒ 
[∵ DB = AB – AD ⇒ DB = 10 – 3.6 = 6.4]
⇒ 
⇒ EC = 8
Now, AC = AE + EC
⇒ AC = 4.5 + 8 = 12.5
Hence, EC = 8 cm and AC = 12.5 cm
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