{"id":"matematyka-2018-operon-probna-rozszerzona/zad/10","paper_id":"matematyka-2018-operon-probna-rozszerzona","number":"10","points":3,"ptype":"open","subject":"matematyka","category":"probna","year":2018,"month":"listopad","level":"rozszerzona","text":"W trójkącie ABC : |AB| = c , |AC| = b , |BC| = a oraz | BAC| = i | ABC| = (zobacz rysunek).\nWykaż, że jeżeli = 2 , to a^2 - b^2 = bc .","answer":null,"answer_text":null,"solution":null,"image":"img/zz/matR_OPERON_2018_11_zad10_rys1.png","solution_image":null,"topics":"dowody_geometryczne","page_from":null,"source":"zadaniazmatur","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"zadaniazmatur","source_label":"Matematyka · Matura próbna · listopad 2018 (rozszerzona)","subject_label":"Matematyka","category_label":"Matura próbna","text_html":"<p>W trójkącie ABC : |AB| = c , |AC| = b , |BC| = a oraz | BAC| = i | ABC| = (zobacz rysunek).<br>Wykaż, że jeżeli = 2 , to a^2 - b^2 = bc .</p>","solutions":[]}