In the given figure BC || DE and AD = DB = 3.4 and AC = 14.So find AE – InterviewSolution

InterviewSolution

1.

In the given figure BC || DE and AD = DB = 3.4 and AC = 14.So find AE and EC.

Answer»

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

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