In einem gleichschenkligen Dreieck ABC wird die Winkelhalbierende w des Winkels a gezeichnet. Sie[br]schneidet die Strecke [BC] in W. Das Lot zu w im Punkt W schneidet die Gerade[br]AB im Punkt P.[br]Begründe, dass die Strecke [AP] doppelt so lang ist wie die Strecke [BW].[br][br][br](Hinweis: Zeichne die Figur zunächst selbst, damit Du Hilfslinien einzeichnen kannst.)[br][br][img]data:image/png;base64,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[/img][br]