Find the lengths of sides b and c in the triangle with angle

Find the lengths of sides b and c in the triangle with angle A = 35 degree, angle C = 95 degree and side a = 12. Round the lengths to 2 decimal places.

Solution

A=35 ,C=95

B=180-A-C=50°

sin A/a=sinB/b

sin35/12=sin 95/b

b=20.84

sinA/a=sinC/c

sin 35/12=sin 50/c

c=16.03