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According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse2 = Perpendicular2 + Base2. c2 = a2 + b2. The side opposite to the right angle (90°) is the longest side (known as Hypotenuse) because the side opposite to the greatest angle is the longest.
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.
It is called "Pythagoras' Theorem" and can be written in one short equation: a 2 + b 2 = c 2. Note: c is the longest side of the triangle. a and b are the other two sides. Definition. The longest side of the triangle is called the "hypotenuse", so the formal definition is:
Pythagoras Theorem Formula. The Pythagorean theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the squares of the other two legs. If AB and AC are the sides and BC is the hypotenuse of the triangle, then: BC 2 = AB 2 + AC 2 .
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.
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.
Jun 8, 2024 · The Pythagorean Theorem, also known as Pythagoras theorem is a mathematical relation between the 3 sides of a right triangle, a triangle in which one of 3 angles is 90°. It was discovered and named after the Greek philosopher and mathematician of Samos, Pythagoras.
Oct 24, 2022 · 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. \ [a^2 + b^2 = c^2 \label {1} \] is called the Pythagorean Theorem.
Dec 26, 2021 · Pythagorean Theorem Formula. The formula for the Pythagorean theorem describes the relationship between the sides a and b of a right triangle to its hypotenuse, c. A right triangle is one containing a 90° or right angle. The hypotenuse is the side of the triangle opposite from the right angle (which is the largest angle in a right triangle).
What Is the Pythagorean Theorem? The Pythagorean theorem gives us the relation between the three sides of a right triangle. It is named after Pythagoras, the great Greek polymath (although the theorem was known to different civilizations for centuries before Pythagoras).
