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There is a pythagorean theorem that actually works for every triangle According to the theorem, 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 lengths of the other two sides Its just that for right triangles it can be simplified to a2+b2=c2 due to the properties of cosines
The pythagorean theorem only works on right triangles, where one angle measures 90 degrees The pythagorean theorem is a mathematical formula that describes the relationship between the sides of a right triangle It states that the sum of the squares of the legs equals the square of the hypotenuse, represented by the formula a2 +b2 = c2.
The pythagorean theorem serves as a crucial tool in understanding right triangles but doesn’t extend its applicability to obtuse or acute triangles
While the theorem provides a clear relationship for right triangles, its limitations become evident in other types. The pythagorean theorem has been used for centuries to solve a wide range of mathematical problems and is a key concept in geometry, trigonometry, and calculus It is essential for understanding the relationships between the sides of right triangles and is used in various fields such as architecture, engineering, physics, and navigation.
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