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Answer 1 · 2017-11-12T13:44:23

#a = 35, b = 10, c = 29.443#
#/_A = 116, /_B = 14.88, /_C = 49.12#

Law of sines #a/sin A = b / sin B = c / sin C#

#35 / sin 116^0 = 10 / sin B#

#sin B = (10 * sin 116^0) / 35#

#/_B = 14.88^0#
#/_C = 180 - 116 - 14.88 = 49.12^0#

#c / sin C =b / sin B#
#c = b * (sin C / sin B)#

#c = 10*(sin 49.12/ sin 14.88)#

#c = 29.443#

#a = 35, b = 10, c = 29.443#
#/_A = 116, /_B = 14.88, /_C = 49.12#