Question

Solve briefly:

In A ABC, if DE || BC and D and E are the points on AB and AC such that
AD: DB = 2 : 3. AE = 4 cm, then EC =

​

Answer 1

$\LARGE{\underline{\boxed{\sf\blue{Hey! \: Solution}}}}$

By Basic Proportionality theorem we get,

$\frac{2}{3} = \frac{4}{x} \\ \\ x = \frac{12}{2} = 6$

➡ Therefore EC = 6 cm