Question

if DE II BC, D&E respectively the points on the sides AB &AC of a triangle ABC such that AD=1.4cm , DB=4.2cm & EC=5.4cm. Find AE

Answer 1

Answer:

this is the answer...

Step-by-step explanation:

We have, AB = 5.6 cm, AD = 1.4 cm, AC = 7.2 cm and AE = 1.8 cm

∴ DB = AB – AD

= 5.6 – 1.4

⇒ DB = 4.2 cm

And, EC = AC – AE = 7.2 – 1.8

⇒ EC = 5.4 cm

Now, AD/DB = 1.4/4.2 = 1/3

And, AE/EC = 1.8/5.4 = 1/3

Thus, DE divides sides AB and AC of ΔABC in the same ratio. Therefore, by the converse of basic proportionality theorem.

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