State and prove thales theory
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Thales Theorem Statement
Let us now state the Basic Proportionality Theorem which is as follows: If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.
Step-by-step explanation:
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. Construction : Join BC,CD and draw EF ┴ BA and DG ┴ CA.
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