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Answers
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THALES THM ::: IF A LINE IS DRAWN PARALLEL TO ONE SIDE OF A TRIANGLE , THEN IT CUTS INTO TWO SIDES PROPORTANALLY...
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TO PROVE = DE / BC = AE/ AC = AD/AB.
Proof ::
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if a line intersects sides AB and AC of a triangle ABC at D and E respectively , and also llel to BC ,
You know that DE ll BC
thn in triangle ABC and Triangle ADE
angle A = angle A { common angles }
angle ADE = angle ABC { BC ll DE}
angle AED = angle ACB { BC ll DE }
therefore : triangle ABC is congruent to triangle ADE .
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now in similar triangle....
AD / AB = AE / AC = DE / BC.
HENCE PROVED...
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