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The Pythagorean Theorem
The Pythagorean Theorem is a fundamental principle in mathematics that relates to right-angled triangles. It states that in a right-angled 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.
Mathematically, the Pythagorean Theorem can be expressed as:
c^2 = a^2 + b^2
Where: - c represents the length of the hypotenuse - a represents the length of one of the other two sides - b represents the length of the remaining side
This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.
The Pythagorean Theorem has numerous applications in various fields, including geometry, trigonometry, physics, and engineering. It allows us to calculate unknown side lengths or check if a triangle is a right-angled triangle.
For example, if we have a right-angled triangle with side lengths of 3 units and 4 units, we can use the Pythagorean Theorem to find the length of the hypotenuse:
c^2 = 3^2 + 4^2 c^2 = 9 + 16 c^2 = 25 c = 5
Therefore, the length of the hypotenuse is 5 units.
The Pythagorean Theorem is a fundamental concept in mathematics and has been studied and applied for centuries. It forms the basis for many other mathematical principles and is an essential tool in solving problems involving right-angled triangles.


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