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3805 - Rază Cerc Circumscris
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===Rezolvare ver. 1=== <syntaxhighlight lang="python" line="1" start="1"> import math # Functia pentru validarea lungimilor laturilor triunghiului def validare(a, b, c): # Verifica daca fiecare lungime de latura este intre 1 si 1000 if 1 <= a <= 1000 and 1 <= b <= 1000 and 1 <= c <= 1000: return True return False # Functia pentru calcularea razei cercului circumscris triunghiului def raza_cercului(a, b, c): # Verifica daca lungimile sunt pozitive si conform conditiei triunghiului if a <= 0 or b <= 0 or c <= 0: print("Imposibil") elif a + b <= c or b + c <= a or c + a <= b: print("Imposibil") else: # Calculeaza semiperimetrul triunghiului s = (a + b + c) / 2 # Calculeaza aria triunghiului folosind formula lui Heron area = math.sqrt(s * (s - a) * (s - b) * (s - c)) # Calculeaza raza cercului circumscris folosind formula ariei si lungimile laturilor radius = (a * b * c) / (4 * area) # Afiseaza rezultatul cu doua zecimale exacte print("{:.2f}".format(radius)) if __name__ == "__main__": # Citeste lungimile laturilor triunghiului de la tastatura a = int(input("Introduceti lungimea primei laturi: ")) b = int(input("Introduceti lungimea celei de-a doua laturi: ")) c = int(input("Introduceti lungimea celei de-a treia laturi: ")) # Verifica daca lungimile laturilor sunt valide if validare(a, b, c): print("Datele de intrare corespund restricțiilor impuse.") # Calculeaza raza cercului circumscris si o afiseaza raza_cercului(a, b, c) else: print("Datele de intrare nu corespund restricțiilor impuse.") </syntaxhighlight>
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