I know there are two triangles but need help solvingSolution


I know there are two triangles but need help solving

Solution

=31.4o,a=39.9,b=32.5

by law of sines

a/sin =b/sin =c/sin

a/sin =b/sin

39.9/sin =32.5/sin31.4o

sin =(39.9/32.5)*sin31.4o

=39.765o, 140.235o

=39.8o, 140.2o

when =39.8o

=180o-31.4o-39.8o=108.835o

=108.8o

b/sin =c/sin

32.5/sin31.4o =c/sin108.8o

c=59.0

when =140.2o

=180o-31.4o-140.2o=8.365o

=8.4o

b/sin =c/sin

32.5/sin31.4o =c/sin8.365o

c=9.1

mesurements of side with with longer side c

=39.8o ,=108.8o,c=59.0

mesurements of side with with shorter side c

=140.2o ,=8.4o,c=9.1

 I know there are two triangles but need help solvingSolution=31.4o,a=39.9,b=32.5 by law of sines a/sin =b/sin =c/sin a/sin =b/sin 39.9/sin =32.5/sin31.4o sin =

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