Forschen im alten Griechenland

★☆☆[br]Überprüfe, ob in diesem rechtwinkligen Dreieck die Summe der Flächeninhalte der Kathetenquadrate gleich groß wie der Flächeninhalt des Hypotenusenquadrats ist.[br]a = 16 cm[br]b = 12 cm[br]c = 20 cm[br][br][img]data:image/png;base64,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[/img]
★☆☆[br]Überprüfe, ob in diesem rechtwinkligen Dreieck die Summe der Flächeninhalte der Kathetenquadrate gleich groß wie der Flächeninhalt des Hypotenusenquadrats ist.[br]d = 5 cm[br]e = 12 cm[br]f = 13 cm[br][br][img]data:image/png;base64,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[/img]
★★☆[br]✋Du benötigst: Geodreieck, Bleistift.[br]Zeichne ein beliebig großes, rechtwinkliges Dreieck in dein Heft.[br]Zeichne anschließend auch die Kathetenquadrate und das Hypotenusenquadrat ein.[br]Miss die Längen des Dreiecks und berechne die Flächeninhalte der Quadrate.[br]Vergleiche die Summe der Flächeninhalte der Kathetenquadrate mit dem Flächeninhalt des Hypotenusenquadrats. Überprüfe, ob der Satz des Pythagoras gilt.[br](Beachte, dass du die Längen des Dreiecks nicht zu groß wählst, damit die Seitenquadrate auf deiner Seite auch noch Platz haben.)
★★★[br]Ayla behauptet, dass in jedem Dreieck der Satz des Pythagoras gilt.[br]Stimmt das?[br]Begründe deine Antwort.
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Information: Forschen im alten Griechenland