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Sir i want to know how to prove the thales theorom

Posted by Srishti Siwach 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Shubham Saxena ???? 5 years, 2 months ago

Statement: If a line is drawn parallel to one side of a triangle, to interest the other two sides at indistinct points, the other two sides are divided in the same ratio. Given: - In △ABC,DE∥BC,,,, To prove:- AD/DB = AE/EC,, Construction:- BE and CD are joined. EF⊥AB and DN⊥AL,, are drawn.,, Proof:-,, ar(△ADE) = 1/2×AD×EF,, =1/2×AE×DN,, ar(△BDE) = 1/2×BD×EF,, ar(△CDE) = 1/2×EC×DN,, ar(△ADE)/ar(△BDE) = 1/2×AD×EF/1/2×BD×EF ........(1),, ar(△ADE)/ar(△CDE) = 1/2×AE×DN/1/2×EC×DN ........(2),, But, ar(△BDE) = ar(△CDE) ..............(3),, , as they are on the same base DE and DE∥BC,, from (1), (2) and (3) we get AD/DB = AE/EC,, Thank you.

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CBSE > Class 10 > Mathematics