Question

state thales theorem

Answer 1

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Basic Proportionality Theorem
(or)
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
AE/AC = AD/ DB

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Answer 2

theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle. Thales' theorem is a special case of the inscribed angle theorem, and is mentioned and proved as part of the 31st proposition, in the third book of Euclid's Elements.[1] It is generally attributed to Thales of Miletus, who is said to have offered an ox (probably to the god Apollo) as a sacrifice of thanksgiving for the discovery, but sometimes it is attributed