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The axiomatic structure of geometry, as initiated by Euclid and then developed by other mathematicians starts of with 8 axioms or postulates which are self-evident truths". Chains of logical reasoning can be used to prove theorems which are then accepted as additional truths, and so on. Geometry does not have laws, as such.

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Q: Why isn't the Pythagorean theorem a law?
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Related questions

Why can't the Pythagorean theorem be used without a right angle?

The Pythagorean theorem is actually the law of cos, where the angle is 90.


What does the law of cosines reduce to when dealing with a right triangle?

D. The Pythagorean Theorem


Is it true that the law of cosines reduces the Pythagorean theorem with right triangles?

Yes


Was the Pythagorean Theorem proven?

Oh yes, the Pythagorean Theorem has been proven.


What shape does the Pythagorean theorem use?

The Pythagorean theorem uses the right triangle.


What mathematical law states that the square of the hypotenuse of a right triangle being equal to the sum of square?

That is the theorem of Pythagoras, or the Pythagorean Theorem.


What are the aspects of Pythagoras theorem?

There are 19 various aspects of Pythagoras theorem. Pythagorean Theorem (1) Pythagoras Theorem(2) Pythagorean Theorem (3) Pythagorean Theorem (4) Pythagoras Theorem(5) Pythagorean Theorem(6) Pythagrean Theorem(7) Pythagoras Theorem(8) Pythagorean Theorem (9) Hyppocrates' lunar Minimum Distance Shortest Distance Quadrangular Pyramid (1) Quadrangular Pyramid (2) Origami Two Poles Pythagoras Tree(1) Pythagoras Tree(2) Theorem by Pappus


How do you use a Pythagorean theorem with cube?

You can use pythagorean theorem twice to find the diagonal of a cube


What is the standard form of the pythagorean theorem?

the standard form of the Pythagorean Theorem is :a2 + b2 = c2


What are the types of Pythagorean theorem?

The Pythagorean theorem is a2 + b2 = c2


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.


What cultures used Pythagorean theorem?

The Greek, Babylonian, Indian, and Chines knew and used the Pythagorean Theorem.