Question

Triangle ABC is given where m(angle sign)A=33 Degrees, a=15 in, and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer.

Answer 1

Answer: You could have an infinite amount of triangles with these measurements.

Unless, you are missing something in the problem, there is not enough information that would narrow it down to a single triangle. Angle A is fixed and the height is fixed. However, Angle B and C could be anything as long as they formed a triangle and had side a of 15 in between them.