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www.instructables.com/Pythagorean-Theorem

The name Pythagorean theorem came from a Greek mathematician by the named Pythagoras. Pythagoras developed a formula to find the lengths of the sides of any right triangle.Pythagoras Discovered that if he treated each side of a right triangle as a square (see figure 1) the two smallest squares areas when added together equal the area of the larger square.

www.onlinemathlearning.com/pythagorean-theorem.html

The Pythagorean Theorem or Pythagoras' Theorem is a formula relating the lengths of the three sides of a right triangle. If we take the length of the hypotenuse to be c and the length of the legs to be a and b then this theorem tells us that: c 2 = a 2 + b 2. Pythagorean Theorem states that.

Pythagoras theorem: Statement & Formula. In a right-angled triangle, the side opposite to the right angle is called the hypotenuse and the other two sides are known as the legs of the right-angled triangle. The hypotenuse is the longest side and the other 2 sides are named as Perpendicular and base.

geometryandarchitecture.weebly.com/pythagorean-theorem.html

The Pythagorean Theorem was founded by Pythagoras. It was regarding the study of right triangles and the relationship between the legs and the hypotenuse. He summarized his discoveries into one formula: A^2 + B^2 = C^2, also known as the Pythagorean Theorem. The theorem helps architects find the correct proportions for the triangles.

www.wisegeek.com/what-is-the-pythagorean-theorem.htm

The Pythagorean theorem is a mathematical theorem named after Pythagoras, a Greek mathematician who lived around the fifth century BCE. Pythagoras is usually given the credit for coming up with the theorem and providing early proofs, although evidence suggests that the theorem actually predates the existence of Pythagoras, and that he may simply have popularized it.

www.toppr.com/guides/maths-formulas/pythagorean-triples-formula

A set of three positive integers that satisfy the Pythagorean theorem is a Pythagorean triple. The Pythagorean theorem shows the relationship of the squares of the sides of any right triangle - a triangle with a 90-degree, or square, corner. Here we will discuss Pythagorean triples formula.

themathpage.com/Alg/pythagorean-distance.htm

THE PYTHAGOREAN DISTANCE FORMULA. The distance of a point from the origin. The distance between any two points. A proof of the Pythagorean theorem. B ASIC TO TRIGONOMETRY and calculus is the theorem that relates the squares drawn on the sides of a right-angled triangle. Credit for proving the theorem goes to the Greek philosopher Pythagoras ...

www.storyofmathematics.com/pythagorean-triples

Both primitive Pythagorean triples and non-primitive Pythagorean triples can be generated by the Pythagorean triples formula. Pythagorean triples formula is given as: (a, b, c) = [ (m 2 − n 2); (2mn); (m 2 + n 2)] Where, m and n are two positive integers and m > n. NOTE: If one member of the triple is known, the remaining members can be ...

brilliant.org/wiki/proofs-of-the-pythagorean-theorem

The theorem can be proved algebraically using four copies of a right triangle with sides a a a, b, b, b, and c c c arranged inside a square with side c, c, c, as in the top half of the diagram. The triangles are similar with area 1 2 a b {\frac {1}{2}ab} 2 1 a b , while the small square has side b − a b - a b − a and area ( b − a ) 2 (b ...

templatelab.com/pythagorean-theorem-worksheet

A simple equation, Pythagorean Theorem states that the square of the hypotenuse (the side opposite to the right angle triangle) is equal to the sum of the other two sides.Following is how the Pythagorean equation is written: a²+b²=c². In the aforementioned equation, c is the length of the hypotenuse while the length of the other two sides of the triangle are represented by b and a.

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