Tuesday, July 14, 2009

What is this math equation called: a(squared)+b(squared)=c(square...

it's the Pythagorean Theorem





In any right triangle, the area of the square whose side is the hypotenuse (the side of a right triangle opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

What is this math equation called: a(squared)+b(squared)=c(square...
The Pythagorean Theorem for right angle triangles.
Reply:its the pythagorean theorem
Reply:The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.





Pythagorean theorem, after Pythagoras, an ancient Greek geometer.





If one leg making the right angle is 5, and the other leg making the right angle is 4, then the remaining side of the triangle, the hypotenuse, is [5x5]+[4x4]=41.
Reply:Quadratic...? I think...
Reply:pythagorean theorem
Reply:pythagorean theorem
Reply:It is the Pythagorean Theorem.





A(square)+B(square)=C(square)





Remember, it is for right triangles.
Reply:Pythagorean Theorem or if you like to get technical the right triangle theorem.
Reply:i think you're talking about the pythagorean theorem
Reply:pythagoreen theorom
Reply:From Wikipedia, the free encyclopedia





The Pythagorean theorem: The sum of the areas of the two squares on the legs (blue and red) equals the area of the square on the hypotenuse (purple).In mathematics, the Pythagorean theorem or Pythagoras's theorem is a relation in Euclidean geometry between the three sides of a right triangle. In the West, the theorem is named after the Greek mathematician Pythagoras, who is credited with the first abstract proof.





The theorem is as follows:





In any right triangle, the area of the square whose side is the hypotenuse (the side of a right triangle opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.





If we let c be the length of the hypotenuse and a and b be the lengths of the other two sides, the theorem can be expressed as the following equation:








This equation provides a simple relation between the three sides of a right triangle so that if the lengths of any two sides are known, the length of the third side can be found. A generalization of this theorem is the law of cosines, which allows the computation of the length of the third side of any triangle, given the lengths of two sides and the size of the angle between them.





This theorem may have a greater variety of known proofs than any other. The Pythagorean Proposition, a book published in 1940, contains 370 different proofs of Pythagoras's theorem, including one by an American President James Garfield.





The converse of the theorem is also true:





For any three positive numbers a, b, and c such that a2 + b2 = c2, there exists a triangle with sides a, b and c, and every such triangle has a right angle between the sides of lengths a and b.
Reply:pythagorean theorem
Reply:Pythagorean Theorem
Reply:Pythagorean theorem


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