[tex]cos~C= \frac{AC}{BC}= \frac{112}{113} \Rightarrow AC= \frac{112}{113}*BC= \frac{112}{113}*226= 224~(cm). \\ \\ AB^2+AC^2 =BC^2 \Rightarrow AB= \sqrt{BC^2-AC^2}= \sqrt{226^2-224^2} = \\ = \sqrt{(226+224)(226-224)} = \sqrt{450*2} = \sqrt{900}=30~(cm). \\ \\ Lunigimile~catetelor~sunt~AB=~30cm~si~AC=224~cm. [/tex]
