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.

What is the Pythagorean Theorem? You can learn all about the Pythagorean theorem, but here is a quick summary: The Pythagorean theorem says that, in a right triangle, the square of a (which is a×a, and is written a 2) plus the square of b (b 2) is equal to the square of c (c 2): a 2 + b 2 = c 2. Proof of the Pythagorean Theorem using Algebra

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagorean Theorem Formula A Visual Approach

Definition of Pythagorean Theorem. For a given right triangle, it states that the square of the hypotenuse, [latex]c[/latex], is equal to the sum of the squares of the legs, [latex]a[/latex] and [latex]b[/latex]. That is, [latex]{a^2} + {b^2} = {c^2}[/latex]. For a more general definition, we have:

What is the Pythagoras Theorem? The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC 2 = AB 2 + AC 2 .

2024年9月25日 · Pythagoras theorem states that, the square of the hypotenuse is equal to the sum of the sides of the perpendicular and base. It can be written as: c 2 = a 2 + b 2

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.

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 …

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. So if a a and b b are the lengths of the legs, and c c is the length of the hypotenuse, then a^2+b^2=c^2 a2 + b2 = c2.

Pythagoras' Theorem says that, in a right angled triangle: the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). a 2 + b 2 = c 2. That means we can draw squares on each side: And this will be true: A + B = C. You can learn more about the Pythagorean Theorem and review its algebraic proof.