# In the adjoining figure, AD = 2 cm, DB = 3 cm, AE = 5 cm and DE || BC, then find EC.

Given: AD = 2cm, DB =3cm, AE = 5cm

and DE || BC

Basic Proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same ratio.

So, by basic proportionality theorem

EC = 7.5 cm

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