问题
问答题 简答题
计算题:如图所示,已知a=7m,b=6m,c=3m,求∠A,∠B,∠C?
答案
参考答案:
由余弦定理得:
cosA=(b2+c2-a2)/2bc=(62+32-72)/2×6×3=-0.1111111;
∠A=arccos(-0.1111111)=96°22′45.7″;
cosB=(a2+c2-b2)/2ac=(72+32-62)/2×7×3=0.5238095;
∠B=arccos0.5238095=58°24′42.7″;
∠C=180°-(∠A+∠B)=180°-(96°22′45.7″+58°24′42.7″)=25°12′31.6″