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eprjenkins
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I have used the pythagorean theorem quite frequently yet have never have it proved for me. I tried to do so myself but as i suck at maths i was unsuccessful. Any links proving it would be apppreciated.
HallsofIvy said:Note that the fifth proof was due to American president James Garfield. Probably the only thing he did of any importance! (Other than getting assassinated and making Theodore Roosevelt president.)
Doodle Bob said:actually, it was mckinley's assassination that gave us Teddy's first term of office. Chester Arthur was Garfield's successor.
The Pythagorean Theorem is a mathematical principle that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
The Pythagorean Theorem can be proven using various mathematical methods, such as algebra, geometry, and trigonometry. The most common approach is through the use of similar triangles and the Pythagorean Theorem's converse, which states that if a² + b² = c², then the triangle is a right triangle.
The Pythagorean Theorem has many real-life applications, including measuring distances in navigation, calculating the height of buildings or trees, and determining the length of cables or wires needed for construction projects. It is also used in fields like engineering, physics, and astronomy.
Yes, the Pythagorean Theorem can be generalized to other shapes, such as circles, ellipses, and even higher dimensions. This is known as the Pythagorean Theorem's extension or generalization, and it involves using more advanced mathematical concepts like calculus.
The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery. However, evidence suggests that the theorem was known and used in various civilizations, such as the Babylonians and Egyptians, long before Pythagoras.