解三角形 (1)已知a=49cm,b=26cm,C=107°, (2)c=55cm,a=58cm,B=66° (3)a=9cm,b=10cm,c=15cm
1个回答
展开全部
(1)c²=a²+b²-2abcosC=3821.96 c=61.8
a/sinA=b/sinB=c/sinC=64.62
sinA=0.7583 sinB=0.4024
A=49° B=24° c=61.8cm
(2)b²=a²+c²-2accosB=3794.02 b=61.6
a/sinA=b/sinB=c/sinC=67.42
sinA=0.8603 sinC=0.8158
A=59° C=55° b=61.6
(3) cosA=(b²+c²-a²)/2bc=0.813 A=35.6°
cosB=(a²+c²-b²)/2ac=0.763 B=40.3°
C=180-35.6-40.3=104.1°
(4) cosA=(b²+c²-a²)/2bc=0.675 A=47.5°
cosB=(a²+c²-b²)/2ac= -0.044 B=92.5°
C=180-47.5-92.5=40
a/sinA=b/sinB=c/sinC=64.62
sinA=0.7583 sinB=0.4024
A=49° B=24° c=61.8cm
(2)b²=a²+c²-2accosB=3794.02 b=61.6
a/sinA=b/sinB=c/sinC=67.42
sinA=0.8603 sinC=0.8158
A=59° C=55° b=61.6
(3) cosA=(b²+c²-a²)/2bc=0.813 A=35.6°
cosB=(a²+c²-b²)/2ac=0.763 B=40.3°
C=180-35.6-40.3=104.1°
(4) cosA=(b²+c²-a²)/2bc=0.675 A=47.5°
cosB=(a²+c²-b²)/2ac= -0.044 B=92.5°
C=180-47.5-92.5=40
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询