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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.
4 Ιουν 2023 · The remaining sides of the right triangle are called the legs of the right triangle, whose lengths are designated by the letters a and b. The relationship involving the legs and hypotenuse of the right triangle, given by. a2 + b2 = c2. is called the Pythagorean Theorem.
The Pythagorean theorem describes a special relationship between the sides of a right triangle. Even the ancients knew of this relationship. In this topic, we’ll figure out how to use the Pythagorean theorem and prove why it works.
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.
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 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.
Use the Pythagorean theorem to determine the length of X. Step 1. Identify the legs and the hypotenuse of the right triangle. The legs have length 24 and X X are the legs. The hypotenuse is 26. Step 2. Substitute values into the formula (remember 'C' is the hypotenuse).