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1967 AMC 12 Question 13

AMC12 · 1967 AMC 12

Question 13

A triangle $ABC$ is to be constructed given side $a$ (opposite angle $A$), angle $B,$ and $h_c,$ the altitude from $C.$ If $N$ is the number of noncongruent solutions, then $N$
  1. is $1$
  2. is $2$
  3. must be zero
  4. must be infinite
  5. must be zero or infinite