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th grade th grade th grade th grade th grade th grade Theorem of Pythagoras a² + b² = c² [Home] [Search] [Forum] [Links] ... German [English How big is the hypotenuse of a right angles triangle, when both lengths of the sides are known? Questioned differently: How big is the diagonal d of a right angle? The possibilities to calculate the diagonal in a square through the area are known but in this example, there no square is given. Four of these rectangles are placed next to each other in a way that the four diagonals make a square (square, so that later on the length can be calculated with help from the root). Three squares result: = (a - b)² = d² = (a + b)² The right angled triangle: Sought: d² 1. First possibility One time the yellow square plus four times the eight angled triangle, make the red square. 2. Second possibility One time the green square minus four times the right angled triangle make the red square. The root of d² is the sought diagonal in the right angle or the hypotenuse of the right angled triangle. previous site superordinate site next site Mathematik- ... Wissen.de

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