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由題知: cosC=√2/2 cosB=(a*a+c*c-b*b)/2ac=3/5 cosC=(a*a+b*b-c*c)/2ab=√2/2 得到: 20+5*c*c-5*b*b=12c 8+2*b*b-2*c*c=4√2*b 所以: b=8√2/7,c=10/7 面積S=1/2*a*b*sinC=8/7
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