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In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle ) is equal to the sum of the areas of the squares on the other two sides.
2 ημέρες πριν · 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.
The Pythagorean Theorem relates the three sides in a right triangle. To be specific, relating the two legs and the hypotenuse, the longest side. The Pythagorean Theorem can be summarized in a short and compact equation as shown below.
The Pythagorean theorem states that if a triangle has one right angle, then the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the two shorter sides, called the legs.
24 Οκτ 2022 · Let’s look at a few examples of the Pythagorean Theorem in action. Example \(\PageIndex{4}\) One leg of a right triangle is 7 meters longer than the other leg.
The Pythagorean theorem is a fundamental result in Euclidean geometry that relates the side lengths of a right triangle through the simple relationship a² + b² = c². The relationship was known to the ancient scholars and builders of Babylon, Egypt, China and India.
The Pythagorean Theorem is a relation in a right-angled triangle. The rule states that #a^2 + b^2 = c^2#, in which #a# and #b# are the opposite and the adjacent sides, the 2 sides which make the right-angle, and #c# representing the hypotenuse, the longest side of the triangle.
