Q. 3 D4.3( 7 Votes )

D and E are point

Answer :

Here, by applying converse of Thale’s theorem we can conclude whether or not DE BC.

By Thale’s theorem,

Solving for ,

We need to find DB from given AB = 12 cm and AD = 7.2 cm.

DB = AB – AD

DB = 12 – 7.2

DB = 4.8


Solving for ,

We need to find EC from given AC = 10 cm and AE = 6.4 cm.

EC = AC – AE

EC = 10 – 6.4

EC = 3.6


As equation (i) is not equal to equation (ii),

it doesn’t satisfies Thale’s theorem.

Hence, we can say DE is not parallel to BC.

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