Complete question is;
Find all solutions for the given triangle, if possible. If no solution exists, write no solution. Round side lengths to the nearest tenth and angle measures to the nearest degree.
a = 9, b = 7, A = 108°
Answer:
c = 3.8
C = 24°
B = 48°
Explanation:
From law of sines, we can find B.
a/sin A = b/sin B
sin B = (bsinA)/a
sin B = (7 × sin 108)/9
sin B = 0.7397
B = sin^(-1) 0.7397
B ≈ 48°
Sum of angles in a triangle = 180°
Thus;
C = 180 - (A + B)
C = 180 - (108 + 48)
C = 24°
Again, using law of sines, we have;
a/sin A = c/sin C
c = (a•sin C)/(sin A)
c = (9 × sin 24)/(sin 108)
c = 3.849
To the nearest tenth gives;
c = 3.8