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The Pythagorean theorem works because it is derived from the principles of geometry and follows logically from the properties of right triangles. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This relationship can be proven using algebra or geometric proofs.

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4mo ago
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6y ago

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

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Q: Why does the Pythagorean theorem work?
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Related questions

Does the Pythagorean theorem always work?

No it never works.


How do you work out pythagorean theorem with only one side?

You cannot.


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 is a non-example of a Pythagorean theorem?

for what values the pytagoreag dose not work


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


What kind of triangles does the Pythagorean theorem work for?

All right angle triangles


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


Does the Pythagorean Theorem work on all triangles?

No, the pythagorean theorem only works on right triangles, but it will work on any right triangle. This is because the Pythagorean Theorem states that length of Leg A squared plus the length of Leg B Squared equals the length of the hypotenuse squared. A hypotenuse is always found opposite a right angle. Only right triangles have right angles; therefore, the Pythagorean Theorem only applies to right triangles. :D


What cultures used Pythagorean theorem?

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