Question

In the given Fig.

AD = 1.5cm, AE = 1cm, DB= 3cm

and DE||BC. Find EC​

Answer 1

Answer:

Given: DE | | BC . Hence DBAD=ECAE

[by 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 twos sides are divided in the same ratio

⟹1.53=EC1

[Given: AD= 1.5cm, DB = 3cm & AE = 1cm ] 

EC=1.53 

⟹EC=2cm

Answer 2

Step-by-step explanation:

By using basic proportionality theorem,

AD/DB = AE/EC

1.5/3 = 1/x

3/1.5 = x

x = EC = 2

AC = AE + EC = 1 + 2 = 3 cm.

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