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faculty.umb.edu/gary_zabel/Courses/Phil 281b/Philosophy of Magic/Arcana...

Pythagorean Theorem. Let's build up squares on the sides of a right triangle. Pythagoras' Theorem then claims that the sum of (the areas of) two small squares equals (the area of) the large one. In algebraic terms, a 2 + b 2 = c 2 where c is the hypotenuse while a and b are the sides of the triangle.

brilliant.org/wiki/pythagorean-theorem

The Pythagorean theorem states that if a triangle has one right angle, then the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the two shorter sides, called the legs. So if ...

www.mathopenref.com/pythagorastheorem.html

Although Pythagoras' name is attached to this theorem, it was actually known centuries before his time by the Babylonians. There are many proofs of this theorem, some graphical in nature and others using algebra. See A graphical proof of the Pythagorean Theorem for one such proof.. On the web site "cut-the-knot", the author collects proofs of the Pythagorean Theorem, and as of this w...

mathbitsnotebook.com/Geometry/RightTriangles/RTpythagorean.html

The Pythagorean Theorem can be interpreted in relation to squares drawn to coincide with each of the sides of a right triangle, as shown at the right. The theorem can be rephrased as, "The (area of the) square described upon the hypotenuse of a right triangle is equl to the sum of the (areas of the) squares described upon the other two sides."

www.wikihow.com/Prove-the-Pythagorean-Theorem

The Pythagorean Theorem allows you to work out the length of the third side of a right triangle when the other two are known. It is named after Pythagoras, a mathematician in ancient Greece. The theorem states that the sum of the squares of the two sides of a right triangle equals the square of the hypotenuse: a 2 + b 2 = c 2. The theorem can be proved in many different ways involving the use ...

betterexplained.com/articles/surprising-uses-of-the-pythagorean-theorem

The Pythagorean theorem is a celebrity: if an equation can make it into the Simpsons, I'd say it's well-known. But most of us think the formula only applies to triangles and geometry. Think again. The Pythagorean Theorem can be used with any shape and for any formula that squares a number.

www.math10.com/tests/pythagorean-theorem.html

Pythagorean Theorem. Pythagorean Theorem; SAT. SAT - 2; SAT - 3; SAT - 4; Home. Tests (Quizzes) Pythagorean Theorem. Pythagorean Theorem. Complete the test and get an award. Question 1. What is the Pythagorean Theorem? a 2 ⋅ b 2 = c 2. c 2 + a 2 = b 2 (a + b) 2 = c 2. c 2 = a 2 + b 2. c 2 + b 2 = a 2. Question 2.

www.whoinventedit.net/who-invented-the-pythagorean-theorem.html

Pythagoras, by tradition, is credited as the one who discovered the Pythagorean Theorem. However, it is known that the principles of the said theorem dates far back into earlier times. With what we know of Pythagoras and the antiquity of the said theorem we can only assume his authorship according to tradition.

www.onlinemathlearning.com/pythagorean-theorem-game.html

Pythagorean Theorem Worksheets Find the missing side Test for right triangle Dynamically Generated Word Problems Types of Triangles. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

www.storyofmathematics.com/greek_pythagoras.htm

Pythagoras’ (Pythagorean) Theorem The simplest and most commonly quoted example of a Pythagorean triangle is one with sides of 3, 4 and 5 units (3 2 + 4 2 = 5 2 , as can be seen by drawing a grid of unit squares on each side as in the diagram at right), but there are a potentially infinite number of other integer “ Pythagorean triples ...