回答:
#alpha = 37 ^ #
#beta = 75 ^ #
#gamma = 68 ^ #
#a = 6#
#b 9.63#
#c 9.244#
说明:
正弦定律:
#sin(阿尔法)/ A = SIN(测试版)/ B = SIN(伽马)/ C#
让 #alpha = 37 ^ #
让 #beta = 75 ^ #
#gamma = 180 ^ - 37 ^ - 75 ^ = 68 ^ #
(三角形的总和是 #180^ #)
鉴于: #A = 6#
#sin(37 ^ )/ 6 = SIN(75 ^ )/ B#
#bsin(37 ^ )= 6sin(75 ^ )#
#b =(6sin(75 ^ ))/ sin(37 ^ ) 9.63#
现在找到方c:
#sin(37 ^ )/ 6 = SIN(68 ^ )/ C#
#csin(37 ^ )= 6sin(68 ^ )#
#c =(6sin(68 ^ ))/ sin(37 ^ ) 9.244#