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.

Pythagoras theorem is basically used to find the length of an unknown side and the angle of a triangle. By this theorem, we can derive the base, perpendicular and hypotenuse formulas. Let us learn the mathematics of the Pythagorean theorem in detail here.

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:

2024年12月9日 · 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, a 2 + b 2 = c 2.

2024年9月25日 · Pythagoras theorem or Pythagorean Theorem states the relationship between the sides of a right-angled triangle. Learn the formula, proof, examples, and applications of Pythagoras Theorem at GeeksforGeeks.

The Pythagoras theorem, also known as the Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle. Or, the sum of the squares of the two legs of a right triangle is equal to the square of its hypotenuse.

2021年12月26日 · The Pythagorean theorem states the sum of the squares of the sides of a right triangle equals the square of its hypotenuse. In mathematic, the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to …

2024年6月8日 · 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.

The Pythagorean Theorem shows the relationship between the sides of a right triangle. It states that for a right triangle, the sum of the areas of the squares formed by the legs of the triangle equals the area of the square formed by the triangle's hypotenuse .

Pythagoras’ theorem is a 2 + b 2 = c 2, where a and b are the two shorter sides of a right-angled triangle and c is the longest side, opposite the right angle. The theorem is used to find a missing side of a right-angled triangle when the other two sides are known.