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Pythagorean theorem | Definition & History | Britannica
- https://www.britannica.com/science/Pythagorean-theorem
- Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2. Although the theorem has long been associated with Greek mathematician-philosopher Pythagoras (c. 570–500/490 bce), it is actually far older.
Pythagorean theorem in 3D (video) | Khan Academy
- https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-pyth-theorem/v/pythagoriean-theorem-in-3d
- Let L, W, and H represent the dimensions (length, width, and height) of a rectangular prism, let C represent a diagonal of the bottom face, and let D represent a long diagonal of the prism. We use the regular (2-dimensional) Pythagorean theorem on two right triangles. One right triangle has legs L & W and hypotenuse C. This gives L^2+W^2=C^2.
Pythagorean Theorem - an overview | ScienceDirect Topics
- https://www.sciencedirect.com/topics/engineering/pythagorean-theorem
- The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of its hypotenuse, that is, a 2 + b 2 = c 2, as shown in Fig. 1. This result was certainly known before the time of Pythagoras, but whether he was the first to actually prove the theorem is unknown because of the Pythagoreans' custom of ascribing all new knowledge …
Pythagorean Theorem – Explanation & Examples
- https://www.storyofmathematics.com/pythagorean-theorem/
- For an obtuse triangle, c 2 > a 2 + b 2, where c is the side opposite the obtuse angle. Example 1. Classify a triangle whose dimensions are; a = 5 m, b = 7 m and c = 9 m. Solution. According to the Pythagorean Theorem, a 2 + b 2 = c 2 then; a 2 + b 2 = 5 2 + 7 2 = 25 + 49 = 74. But, c 2 = 9 2 = 81. Compare: 81 > 74.
How to Use the Pythagorean Theorem. Step By Step …
- https://www.mathwarehouse.com/geometry/triangles/how-to-use-the-pythagorean-theorem.php
- Use the Pythagorean theorem to determine the length of X. Step 1. Identify the legs and the hypotenuse of the right triangle . The legs have length 24 and X are the legs. The hypotenuse is 26. The hypotenuse is red in the diagram below: Step 2. Substitute values into the formula (remember 'C' is the hypotenuse).
What is the Pythagorean Theorem? | Examples & Method
- https://study.com/learn/lesson/what-is-the-pythagorean-theorem.html
- The Pythagorean Theorem states that the sum of the square of the legs is equal to the square of the hypotenuse. In the mathematical …
Examples of Pythagorean Theorem - Mechamath
- https://www.mechamath.com/geometry/examples-of-pythagorean-theorem/
- The Pythagorean theorem is a formula that relates the sides of a right triangle. The Pythagorean theorem states that “In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.”. We can illustrate this idea using the following triangle:
Pythagorean Tree - Math Images
- https://mathimages.swarthmore.edu/index.php/Pythagorean_Tree
- A Pythagorean Tree is a fractal that is created out of squares. Starting from an initial square, two additional smaller squares are added to one side of the first square such that the space between all three squares is a right triangle. The side of the larger square becomes the hypotenuse of that right triangle.
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- http://whitesphotography.com/pythagorean-theorem/
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