Question

prove that converse of thales theorem

Answer 1

Ans: Converse of Basic ProportionalityTheorem - Converse of Thales Theorem - This is a very importanttheorem in triangle geometry. Converse of Basic ProportionalityTheorem / Converse of Thales Theorem: If a line divides the any two sides of a triangle in the same ratio, then the line must be parallel to the third side.

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Answer 2

converse of thales (BPT) theorem :-
if in a triangle, line divides the two sides of the triangle proportionally then the line is parallel to third side.
given : a triangle ABC in which,
AD / DB = AE / EC
proof: ( in the pic)
But these r triangles having equal area and are on same base .
therefore,
DE || BC
hence the result is proved....
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