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Tuesday, September 12, 2017

I am beginning to see why Gauss said number theory is the "queen of mathematics".........



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In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Pythagorean theorem - Wikipedia

https://en.wikipedia.org/wiki/Pythagorean_theorem
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How do u do Pythagorean Theorem?
In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.

The Pythagorean Theorem

www.montereyinstitute.org/courses/DevelopmentalMath/.../U07_L1_T4_text_final.html
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Why is it important to know the Pythagorean Theorem?
The proofs are not difficult and with some thought it is clear that the Pythagorean theorem works and is important. To begin, the Pythagorean theorem states that the square on the hypotenuse of a right triangle has an area equal to the combined areas of the squares on the other two sides.Dec 2, 1998

Pythagorean Theorem - UKy Math Department

www.ms.uky.edu/~lee/ma502/pythag/pythag.htm
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Why does the Pythagorean theorem only work on a right triangle?
Here is why the Pythagorean Theorem can only be used to solve right triangles. The Pythagorean Theorem is with a and b the length of the legs of the triangle and c as the hypotenuse, or the longest side. It has variations too, like and .

SOLUTION: I need an explanation of why the Pythatgorean theorem ...

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How was the Pythagorean theorem proved?
Pythagoras and his colleagues are credited with many contributions to mathematics. The following is an investigation of how the Pythagorean theorem has been proved over the years. The theorem states that: "The square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs" (Eves 80-81).

Proofs of the Pythagorean Theorem

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Intro to the Pythagorean theorem (video) | Khan Academy

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Sal introduces the famous and super important Pythagorean theorem! Can the pythagorean theorem ...

Pythagorean theorem - Wikipedia

https://en.wikipedia.org/wiki/Pythagorean_theorem
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In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
‎Right triangle · ‎Hypotenuse · ‎Pythagorean trigonometric

Pythagoras Theorem - Math is Fun

https://www.mathsisfun.com/pythagoras.html
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Pythagoras' Theorem. Pythagoras. Over 2000 years ago there was an amazing discovery about triangles: When a triangle has a right angle (90°) .
‎Pythagorean Theorem Proof · ‎Pythagorean Triples · ‎Activity: Pythagoras' Theorem

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