(a) In triangle ABC, angle BCA = pi/4, AB = 5, and AC = 6. Find the sum of all distinct possible values of BC If there are no possible values, enter 0.
(b) In triangle ABC, angle BCA = pi/4, AB = 6, and AC = 4. Find the sum of all distinct possible values of BC If there are no possible values, enter 0.
(c) In triangle ABC, angle BCA = pi/4, AB = 4, and AC = 5. Find the sum of all distinct possible values of BC If there are no possible values, enter 0.
sinB/6 = sin45°/5
angle B = appr 58°
so angle A = 77°
BC/sin77 = 5/sin45
BC = appr 6.9