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Pythagorean theorem - Wikipedia
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.
Pythagorean Theorem Calculator
What is the Pythagorean Theorem? The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared. You might recognize this theorem in the form of the Pythagorean equation: \[ a^{2} + b^{2} = c^{2} \]
Pythagoreanism - Wikipedia
Pythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in the ancient Greek colony of Kroton, in modern Calabria (Italy) circa 530 BC. Early Pythagorean communities spread throughout Magna Graecia.
Pythagorean theorem | Definition & History | Britannica
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.
Pythagoras' Theorem - Math is Fun
When a triangle has a right angle (90°) ... ... and squares are made on each of the three sides, ... ... then the biggest square has the exact same area as the other two squares put together! (press Go). It is called "Pythagoras' Theorem" and can be written in one short equation: Note:
Pythagoras Theorem - Formula, Proof, Examples, Applications - BYJU'S
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.
Pythagorean Theorem - Math.net
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 .
Introduction to the Pythagorean Theorem - MIT
Introduction to the Pythagorean Theorem Page 2 Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle equals the square of its hypotenuse. In other words, a2 + b2 = c2; where aand bare the lengths of the two legs and cis the length of the hypotenuse. a b c Example 2.
How to Use the Pythagorean Theorem. Step By Step Examples and Practice
Use the Pythagorean theorem to determine the length of X. Identify the legs and the hypotenuse of the right triangle. The legs have length 6 and 8. X X is the hypotenuse because it is opposite the right angle. Substitute values into the formula (remember 'C' is the hypotenuse). A2 + B2 = C2 62 + 82 = X2 A 2 + B 2 = C 2 6 2 + 8 2 = X 2.
Pythagorean Theorem - Definition, Formula & Examples - ChiliMath
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.
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