[latex]Ob_{ABC}=9cm[/latex] [latex]k=4[/latex] [latex]|A_1B_1|= 10cm[/latex] [latex]|A_1C_1|= 12cm[/latex] Obliczam obwód trójkąta [latex]A_1B_1C_1[/latex] [latex]frac{Ob_{A_1B_1C_1}}{Ob_{ABC}}=k[/latex] [latex]frac{Ob_{A_1B_1C_1}}{9}=4 / cdot 9[/latex] [latex]Ob_{A_1B_1C_1}=36[/latex] Obliczam [latex]|B_1C_1|[/latex] [latex]|B_1C_1|=Ob_{A_1B_1C_1}-(|A_1B_1|+|A_1C_1|)[/latex] [latex]|B_1C_1|=36-(10+12)[/latex] [latex]|B_1C_1|=36-22[/latex] [latex]|B_1C_1|=14cm[/latex] Obliczam boki trójkąta ABC [latex]frac{|A_1B_1|}{|AB|}=k[/latex] [latex]frac{10}{|AB|}=4[/latex] [latex]|AB|= frac{10}{4}[/latex] [latex]|AB|= 2,5cm[/latex] ------- [latex]frac{|A_1C_1|}{|AC|}=k[/latex] [latex]frac{12}{|AC|}=4[/latex] [latex]|AC|= frac{12}{4}[/latex] [latex]|AC|=3cm[/latex] ------- [latex]frac{|B_1C_1|}{|BC|}=k[/latex] [latex]frac{14}{|BC|}=4[/latex] [latex]|BC|= frac{14}{4}[/latex] [latex]|BC|=3,5cm[/latex]
