Question

Prove Thales Theorem?

Answer 1

plzz refer the attachment

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Answer 2

(Thales theorem): If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio. 

In ∆ABC , if DE || BC and intersects AB in D and AC in E then 

    AD       AE

   ---- = ------

    DB      EC

Proof on Thales theorem : 

If a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.

Given : In ∆ABC , DE || BC and intersects AB in D and AC in E. 

Prove that : AD / DB = AE / EC 

Construction : Join BC,CD and draw EF ┴ BA and DG ┴ CA.