Die Länge der Hypotenuse

★☆☆[br]Wie kann der Satz des Pythagoras für dieses rechtwinklige Dreieck gebildet werden?[br][br][img]data:image/png;base64,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[/img]
★☆☆[br]Berechne die Länge der Hypotenuse in einem rechtwinkligen Dreieck mit den Katheten a = 5 cm und b = 12 cm. [br]Mache als erstes eine Skizze.[br][br]
★☆☆[br]Berechne die Länge der Hypotenuse in einem rechtwinkligen Dreieck mit den Katheten a = 15 cm und b = 8 cm.[br]Mache als erstes eine Skizze.[br][br]
★★☆[br]Janis und Kathi reden über den Satz des Pythagoras.[br]Janis meint: “Der Satz des Pythagoras lautet Kathete² + Kathete² = Hypotenuse².”[br]Kathi antwortet: “Ich habe aber gelernt, dass der Satz des Pythagoras a² + b² = c² lautet.”[br]Begründe, warum beide Recht haben.[br]
🔎 Recherchiere im Internet zu Pythagoras. [br]Wer war Pythagoras von Samos?[br]Welche Ansichten hatte er?[br]Was war Mathematik für ihn?
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Information: Die Länge der Hypotenuse