1) Angle A stays the same in both triangles and sin (pi - C) = sin C so sin C stays the same in both triangles
2) A unique triangle is determined when BC = AB. BC and AB are the sides of the triangle and when we constructed a perpendicular from ray AC to ray AB, we made a 90° angle, which made it a right triangle. If we have BC, angle B and AB, we have a SAS case which determines only one unique triangle and the unique triangle is a isosceles right triangle.
3) IF angle A is obtuse then:
When BC > AB, 1 triangle can be formed
When BC = AB, no triangles can be formed
When BC < AB, no triangles can be formed IF angle A is acute then: When AC > BC > H, 2 triangles can be formed
When BC > AC > H, 1 triangle can be formed
When BC = H, 1 right t