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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2. Was stellst du fest, wenn C innerhalb des Thales- Kreises liegt, also γ Stumpfwinklig?
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3. Was passiert, wenn C außerhalb der Thales-Kreises liegt, also rechtwinklig?
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Formuliere nun den Satz des Pythagoras mit eigenen Worten!
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Information: Satz des Pythagoras: Satzfindung