Question

In ∆ ABC,DE∥ BC, If AD= 2 cm, DB= 6 cm, EC= 9 cm then find AE

1]8
2]18
3]12
4]3


answer is needed fast!!​

Answer 1

Answer:

3 no. is correct ok bro okokokok

Answer 2

Answer:

D] 3

Step-by-step explanation:

Concept used:

• Here we apply the concept of Basic Proportionality Theorem or Thales Theorem which states that when a line is drawn to divide the triangle in a particular ratio, then the sides of a triangle are proportional.

Solution:

Applying the above concept,

$\bold{\dfrac{AD}{DB}=\dfrac{AE}{EC}}$

$\implies \sf{\dfrac{2}{6}=\dfrac{AE}{9}}$

On cross multiplying,

$\implies \sf{6AE=9\times2}$

$\implies \sf{6AE=18}$

$\implies \sf{AE=\dfrac{18}{6}}$

$\implies \sf{AE=3}$

$\therefore \boxed{\bf{AE=3}}$