Find a triangle with one obtuse angle if angle A 50 degree

Find a triangle with one obtuse angle if angle A = 50 degree, a = 33, b = 35. If no answer exists, enter6 DNE for all answers. Angle B is = degrees; angle C is = degrees; c = Assume angle A is opposite side a angle B is opposite side b, and angle C is opposite side c. Round all answers to three decimal places.

Solution

Angle A = 50 degree

a = 33

b = 35

Now   sin A/a = sin B/b =======> sin 50/33 = sin B/35

Sin B = 0.8125 ==========> B = 54.34 degree

Now angle C = 180 – 50 – 54.34 = 75.66 degree

So, again   sin A/a = sin C/c =======> sin 50/33 = sin 75.66/c

c = 41.74