Pythagorean theorem Totally Explained

Everything about Pythagorean Theorem totally explained

In mathematics, the Pythagorean theorem (American English) or Pythagoras' theorem (British English) is a relation in Euclidean geometry among the three sides of a right triangle. The theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although knowledge of the theorem almost certainly predates him. The theorem is as follows:

In any, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

This is usually summarized as follows:

The square of the hypotenuse of a right triangle is equal to the sum 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 equation:
ť

a^2 + b^2 = c^2,

or, solved for c:
ť

c = sqrt

where a, b, and c are multiplicative distances of the sides of the right triangle (Hartshorne, 2000).

Cultural references to the Pythagorean theorem

In The Wizard of Oz, when the Scarecrow receives his diploma from the Wizard, he immediately exhibits his "knowledge" by reciting a mangled and incorrect version of the theorem: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side. Oh, joy, oh, rapture. I've got a brain!" The "knowledge" exhibited by the Scarecrow is incorrect. The accurate statement would have been "The sum of the squares of the legs of a right triangle is equal to the square of the remaining side."

In an episode of The Simpsons, Homer quotes the Oz Scarecrow's quote, thus turning the theorem into a cultural reference to a cultural reference. After finding a pair of Henry Kissinger's glasses in a toilet at the Springfield Nuclear Power Plant, Homer puts them on and quotes the scarecrow's mangled formula. A man in a nearby toilet stall then yells out "That's a right triangle, you idiot!" (The comment about square roots remained uncorrected.)

Similarly, the Speech software on an Apple MacBook references the Scarecrow's incorrect statement. It is the sample speech when the voice setting 'Ralph' is selected.

In the English version of the seventeenth Asterix book "The Mansions of the Gods", Julius Caesar uses the services of an architect named "Squaronthehypotenus" to develop the estate near the village, through which he hopes to absorb the Gaulish village into the Roman culture.

In 2000, Uganda released a coin with the shape of a right triangle. The tail has an image of Pythagoras and the Pythagorean theorem, accompanied with the mention "Pythagoras Millennium".

In the Major-General's Song, "About binomial theorem I'm teeming with a lot o' news, With many cheerful facts about the square of the hypotenuse."

Greece, Japan, San Marino, Sierra Leone, and Surinam have issued postage stamps depicting Pythagoras and the Pythagorean theorem.

In South Park, Eric Cartman shows the Pythagorean theorem during a slide show at show and tell.

In Smart Guy, the teacher is asking the class what the formula for Pythagorean Theorem is. T.J. was supposed to be stupid but replied, "A squared plus B squared equals C squared...".Further Information

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