Extremely confused explain?

Question

The smaller two sides of an obtuse triangle are known to be 4.0m and 10.6. The angle that is opposite 10.6 is 14°

a) label triangle. You can move the boxes to help with labeling. the Thea is unknown obtuse angle that you will need to find in step b

thea 14° 4 10.6

b)calculate the obtuse angle in triangle,to the nearest tenth of a degree. Show work

c)is there only one distinct triangle explain

Answer 1

a) Let we have ΔBAC, b = 10.6, c = 4.0., B = 14°, b) By sine law: sin14°/10.6 = sinC/4; sinC = 4sin14°/10.6;

C = sin^-1(4sin14°/10.6) = 5.238°; c) A = 180° - (14° + 5.238°) = 160.8°

There only 1 triangle, because C must be less then B