Question

Answer of this question

Answer 1

Since BC is parallel to DE
Therefore ∆ABC is similar to ∆ADE (by A.A)
Then according to Basic Proportionality Theorem :
AD/DB = AE/EC
Given value of AD,DB , AE
Then EC = 8cm

Answer 2

EC = 8 centimeters


SOLUTION :-


Given that :-

$ad = 3cm \\ db = 4cm \\ ae = 6cm$

To find = EC


Now,

BASIC PROPORTIONALITY THEOREM
(THALES THEOREM)

The theorem states that :-

If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio. 


So,
Applying BASIC PROPORTIONALITY THEOREM in the given figure :-

$\frac{ad}{db} = \frac{ae}{ec} \\ \\ putting \: values - \\ \\ \frac{3}{4} = \frac{6}{ec} \\ \\ ec = \frac{6 \times 4}{3} = 8cm$

Hence,
EC = 8 cm

Hope this will be helping you!

Thanks!