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Theorem of Pythagoras a² + b² = c² [Home] [Search] [Forum] [Links] [Contact] [Imprint] [Sitemap]
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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:
The right angled triangle:
Sought: d² 1. First possibility
2. Second possibility
The root of d² is the sought diagonal in the right angle or the hypotenuse of the right angled triangle.
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= (a - b)²
= d²
= (a + b)²
=
