Der Satz des Pythagoras

[u][color=#1155Cc][size=150][b]Anwendung[/b][/size][/color][/u][br] Der Satz wird und kann nur bei rechtwinkligen Dreiecken angewendetwerden.[br][color=#351C75][size=100][size=150][br][color=#1155Cc][b][u]Für die Beschriftung des rechtwinkligen Dreiecks gilt:[/u][/b][/color][/size][/size][/color][br] - Die Seite gegenüber dem rechten Winkel heißt [color=#3c78d8]Hypotenuse[/color], sie ist auch[b] die längste Seite[/b] des Dreiecks.[br] - Die Seiten, die am rechten Winkel anliegen heißen [color=#cc4125]Katheten[/color], sie sind [b]die kürzeren Seiten[/b] des Dreicks.[br][br]
[color=#1155Cc][size=100][size=150][u][b]Der Satz des Phytagoras[/b][/u][/size][/size][/color][br] [br] besagt, dass bei einem rechtwinkligen Dreieck gilt[br][b][size=150][br] [color=#3c78d8]Hypotenuse[sup]2[/sup][/color] = [color=#cc4125] Kathete[sup]2[/sup][/color] + [color=#38761D] Kathete[sup]2[/sup] [br]    [/color][/size][/b][b][size=200][color=#073763][color=#3c78d8]c[sup]2[/sup][/color] [/color] = [color=#cc4125]a[sup]2[/sup] [/color] + [color=#38761D]b[sup]2[/sup][/color][sup] [/sup][/size][/b][sup] [br][br][img 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[/img][br][/sup][size=100][size=150][sup][br][/sup][/size][/size]

Pythagoras: Scherung

Lied zu Satz des Pythagoras (damit du ihn nicht mehr vergisst)

Mathelied zu Satz des Pythagoras
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Augaben zur Berechnung der Hypotenuse

[u][b][color=#1e84cc]1. Aufgabe[/color][/b][/u][br][br]Wie kommt man nun von Satz des Pythagoras auf die Länge c der Hypotenuse? Forme den Satz des Pythagoras um und trage deine Antwort ein!
[b][u][color=#1e84cc]2. Aufgabe[/color][/u][/b] [br][br]Gegeben ist ein rechtwinkliges Dreieck mit den Seitenlängen a = 4 cm und b = 3 cm. Berechne die Hypothenuse und trage dein Ergebnis ein!
[u][b][color=#1e84cc]3. Aufgabe[/color][/b][/u][br]Wie lässt sich die Form für die Diagonale vom Quadrat verallgemeinern? Schreibe deine Formel auf und trage sie als Antwort ein.

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