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If by "triangle property" you mean the Pythagorean theorem, then your question is so deep, perhaps even deeper than the question why a2 + b2 = c2. The scientists of human behaviour have not yet found what exactly triggers the mind to form or to express a new idea. Exogenous (meaning from the surrounding environment) as well as endogenous (meaning from inside ourselves) factors combine so at specific moment a brilliant idea is formed in the mind of someone. The society and the education where someone lives is one of the major factors. The quality of the brain that each one has, is another major factor. Coincidence should also be regarded.

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Q: How did Pythagoras discover the triangle theorem?
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Related questions

Did Pythagoras discover the formula for finding the hypnotenuse of a triangle?

Yes, it's called Pythagoras theorem


Which theories did Pythagoras discover?

Pythagoras' theorem states that for any right angle triangle that the square of its hypotenuse is equal to the sum of its squared sides.


Pythagoras theorem will always work in what type of triangle?

Pythagoras theorem will always work with a right-angled triangle.


What is the function of-the Pythagoras Theorem?

The Pythagoras Theorem is-a mathematical equation that measures the area belonging to-a triangle.


Where did Pythagoras discover the Pythagorean theorem?

he dicovered it in greece


What is the converse of Pythagoras's theorem?

The converse of Pythagoras's theorem states :- "If the square of one side of a triangle is equal to the sum of square of other two sides then the triangle is a right angled triangle""


Where can Pythagoras Theorem be used?

Pythagoras' theorem can be used for right-angled triangles. Using the theorem, you are able to calculate what the length of one side of a triangle is.


What therom relates to the right triangle?

Pythagoras' theorem


Can you use triangle in a sentence?

Pythagoras's Theorem is used to determine if a triangle is a right triangle or not.


Why did Pythagoras discovered Pythagoras theorem?

Pythagoras discovred it to find unknown sides in a right angled triangle


What theorem is used to find the lengths of the sides of any right triangle?

Pythagoras' theorem


Which is the 30o 60o right triangle theorem?

Pythagoras' theorem: a2+b2 = c2