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Pythagorean Theorem Proof by Rearrangement
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00:02 Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
00:09 It states that the area of the square whose side is the hypotenuse is equal to the sum of ...
00:21 This theorem can be written as an equation relating the lengths of the sides A, B and C, often called the Pythagorean equation.
00:33 The theorem, is named for the Greek thinker Pythagoras, born around 570 BC
00:49 Arrange four identical right triangles to make a square like the one shown
00:58 The area of the square is equal to the sum of the areas of the four triangles plus the area of the central square
01:17 However, it is also equal to the sum of the areas of the square with sides A and B, as well as the four triangles
01:38 As a result, C square equals A square plus B square
#Pythagorean #math #animation #geometry #mathematics #maths #visualization #triangle #right #Euclidean #theorem #equation #Pythagora #Greek #lemma #manim #pythagoras_theorem #pythagoreantheorem #pythagorastheorem #pythagorasmath #345
00:09 It states that the area of the square whose side is the hypotenuse is equal to the sum of ...
00:21 This theorem can be written as an equation relating the lengths of the sides A, B and C, often called the Pythagorean equation.
00:33 The theorem, is named for the Greek thinker Pythagoras, born around 570 BC
00:49 Arrange four identical right triangles to make a square like the one shown
00:58 The area of the square is equal to the sum of the areas of the four triangles plus the area of the central square
01:17 However, it is also equal to the sum of the areas of the square with sides A and B, as well as the four triangles
01:38 As a result, C square equals A square plus B square
#Pythagorean #math #animation #geometry #mathematics #maths #visualization #triangle #right #Euclidean #theorem #equation #Pythagora #Greek #lemma #manim #pythagoras_theorem #pythagoreantheorem #pythagorastheorem #pythagorasmath #345
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