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Satz des Pythagoras: Satzfindung
Zu einem beliebigen Dreieck ABC sind die Quadrate über den Seiten eingezeichnet. Ziehe an C und vergleiche a²+b² mit c².
1. Was stellst du fest, wenn C außerhalb des Thales-Kreises liegt, also γ spitzwinklig ist?
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Wenn γ spitzwinklig ist, ist a²+b² > c²
2. Was stellst du fest, wenn C innerhalb des Thales- Kreises liegt, also γ Stumpfwinklig?
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Wenn γ stumpfwinklig ist, ist a²+b² < c²
3. Was passiert, wenn C außerhalb der Thales-Kreises liegt, also rechtwinklig?
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a²+b²=c² das ist der Satz des Pythagoras
Formuliere nun den Satz des Pythagoras mit eigenen Worten!
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Information: Satz des Pythagoras: Satzfindung