Question

state and prove basic proportionality theorem

Answer 1

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AD/BD =AE/CE
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Answer 2

Answer:

Step-by-step explanation:

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Basic Proportionality Theorem (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.  

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