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Explain in Detail :Converse of Thales Theorem
The converse of Thales theorem states that if a line parallel to one side of a triangle intersects the other two sides, then the triangle is isosceles. Triangle Proportionality Theorem.
There is nothing extant of the writing of Thales. Work done in ancient Greece tended to be attributed to men of wisdom without respect to all the individuals involved in any particular intellectual constructions; this is true of Pythagoras especially. Attribution did tend to occur at a later time.[2] Reference to Thales was made by Proclus, and by Diogenes Laërtius documenting Pamphila’s statement that Thales[3] “was the first to inscribe in a circle a right-angle triangle”.
Indian and Babylonian mathematicians knew this for special cases before Thales proved it.[4] It is believed that Thales learned that an angle inscribed in a semicircle is a right angle during his travels to Babylon.[5] The theorem is named after Thales because he was said by ancient sources to have been the first to prove the theorem, using his own results that the base angles of an isosceles triangle are equal, and that the sum of angles of a triangle is equal to 180°.
Dante’s Paradiso (canto 13, lines 101–102) refers to Thales’s theorem in the course of a speech.
Corollary
An event is more likely to happen if it is more probable.
Proof
If an event is more probable, then it is more likely to happen.
About Thales Theorem
Thales theorem states that if a triangle is inscribed in a circle then the angle at the base of the triangle is equal to the angle at the circumference of the circle.
