Problem: A triangle is to be constructed given side a (opposite angle ), angle , and , the altitude from . If is the number of noncongruent solutions, then :
Answer Choices:
A. is
B. is
C. must be zero
D. must be infinite
E. must be zero or infinite
Solution:
The given parts are not independent since . There is no triangle if or . When , we are free to choose vertex anywhere on , including right and left extensions, where is the foot of .