{"id":"site-1764/zad/580","paper_id":"site-1764","number":"580","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2005,"month":null,"level":"podstawowa","text":"W kwadrat ABCD wpisano kwadrat EFGH, jak pokazano na poniższym rysunku. Wiedząc, że |AB|=1 oraz tangens kąta AEH równa się 2/5, oblicz pole kwadratu EFGH.","answer":null,"answer_text":null,"solution":null,"image":"img/site/1764/zad-580.svg","solution_image":"img/site/1764/rozw-580.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 · 2005 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>W kwadrat ABCD wpisano kwadrat EFGH, jak pokazano na poniższym rysunku. Wiedząc, że |AB|=1 oraz tangens kąta AEH równa się 2/5, oblicz pole kwadratu EFGH.</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/1764/rozw-580.svg"}]}