Question

Prove that if a line is drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.plz ans this Q for me ​

Answer 1

Answer:

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Answer 2

Answer:

Given

 DE∥BC

In△ADEand

△ABC∠DAE=∠BAC(commonangle)

∠ADE=∠ABC[

∵DE∥BC

∴correspondinganglesareequal]∠AED=∠ACB

∴△ADE∼△ABC

HenceABAD=ACAE(Insimilartriangle,correspondingsidesareinsameratio)

∵ABAD=ACAE⇒ADAB=AEAC⇒ADAB−1=AEAC−1⇒ADAB−AD=AEAC−AE⇒ADDB=AEEC

Hope it will help u ❤