- The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
- It can be used to find the length of a missing side of a right triangle and can only be applied to right-angled triangles.
- Examples of the theorem include finding the length of the hypotenuse in a triangle with legs of 3 and 4 units.
- The theorem has real-life applications in architecture and construction, for example, finding the diagonals of a rectangle.
- Pythagorean Triples like 6, 8, 10 show a relationship between sides in a right-angled triangle and can be used to easily determine the length of the third side.
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