Question

In the given figure BC || DE and AD = DB = 3.4 and AC = 14.

So find AE and EC.

Answer 1

In the given ΔABC, DE || BC is given. 

So from Thales theorem, 

\(\frac{AD}{DB}=\frac{AE}{EC}\)

In this problem, AD = DB = 3.4 is given. 

And also AC = 14 is given.

So \(\frac{AD}{DB}=\frac{AE}{EC}\)

⇒ \(\frac{3.4}{3.4}=\frac{AE}{EC}\)

⇒ AE = EC 

But AC = 14 is given. 

AC = AE + EC = 2AE = 14 

⇒ AE = EC = 7 cm