Solve the triangle if one exists Round your answers to two d

Solve the triangle, if one exists. (Round your answers to two decimal places.) C = 64.2 degree, a = 78.5, c = 71.6

Solution

a/sinA=b/sinB =c/sinC

a/sinA= c/sinC
78.5/sinA = 71.6/sin64.2
78.5/71.6 = sinA/sin64.2
1.096 =sinA/sn64.2
sinA= 0.987

A= 80.8 degree (small)
large = A= 99.2 degree

A+B+C=180
80.8 +B+64.2=180
B=180-145
B=35
for large A value

99.2+B+64.2 =180

B=180-163.4
B=17.6 degree


b/sinB=c/sinC
b/sin35 = 71.6/sin64.2
b/sin35=79.53
b= 79.53sin35
b=45.62

for another B value 17.6 degree
b = 79.53 sin17.6
b =24.05

 Solve the triangle, if one exists. (Round your answers to two decimal places.) C = 64.2 degree, a = 78.5, c = 71.6 Solutiona/sinA=b/sinB =c/sinC a/sinA= c/sinC

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