{"id":"site-2681/zad/3211","paper_id":"site-2681","number":"3211","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Na boku BC trójkąta ABC wybrano punkt D tak, by |kąt CAD| = |kąt ABC|. Odcinek AE jest dwusieczną kąta DAB. Udowodnij, że |AC|=|CE|.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2681/zad-3211.svg","solution_image":"img/site/2681/rozw-3211.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>Na boku BC trójkąta ABC wybrano punkt D tak, by |kąt CAD| = |kąt ABC|. Odcinek AE jest dwusieczną kąta DAB. Udowodnij, że |AC|=|CE|.</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/2681/rozw-3211.svg"}]}