Question

If AD = 3.6 cm , AB = 10 cm and AE = 4.5 cm , find EC and AC.​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

From given triangle, points D and E are on the sides AB and AC respectively such that DE∣∣BC.

AD=3.6 cm, AB=10 cm and AE=4.5 cm.

By Basic Proportonality Theorem:

DB

AD

=

EC

AE

Here DB=AB−AD=10−3.6=6.4 cm

⇒EC=

3.6

4.5

×6.4

or EC=8 cm

And, AC=AE+EC

AC=4.5+8=12.5 cm