Prove that [basic proportional theorem]?
Ref: https://edurev.in/question/617932/Provethatbasicproportionaltheorem
Basic Proportionality Theorem(Thales Theorem) 
Given  In triangle ABC, DE is parallel to BC. DE bisects AB at D and AC at E.
To Prove  AD/BD= AE/CE
Construction  Join BE and CD and draw EF is perpendicular to AB and DG is perpendicular to AC.
Proof 
As, EF is perpendicular to AB, EF is the height of tr's ADE and DBE.
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