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Q: How many different ways are there to solve the Pythagorean theorem?
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Did anyone oppose to the pythgreom theorm?

Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.


How many Pythagorean theorem proofs are there?

I'm not very sure but I know there is over 300.


Who is father of trigonometry?

Trigonometry has been developed over centuries, and was not discovered per-se by any one person. One might say that Pythagoras is the father of trigonometry because the Pythagorean theorem is so central to trigonometric theory, but many cultures were aware of the Pythagorean theorem before Pythagoras was even born.


Use of phytagorean theorem in trigonometry and physics?

If you meant "Pythagorean Theorem" , the uses are almost infinite. It is associated with finding the length of the "hypotenuse" of any right-angled triangle, given that the other two sides are known. However, a modified version of the Pythagorean Theorem allows us to find the length of any one side of any triangle, given that we know the other two sides, and the angle between them. In physics, many calculations are based on the Pythagorean Theorem. For Example, The use of Trigonometric Parallax allows us to calculate the distance to relatively near stars.It involves the usage the Sun, Earth and the star in question as vertices of the right-angled triangle.


What were Pythagoras' important contributions?

In a word, geometry. He also influenced Plato, Aristotle, and many other philosophers and mathematicians long after his death.He also established many geometrical theorems, including the Pythagorean Theorem.