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1962 AMC 12 Question 23

AMC12 · 1962 AMC 12

Question 23

In triangle $ABC,$ $CD$ is the altitude to $AB$ and $AE$ is the altitude to $BC.$ If the lengths of $AB,$ $CD,$ and $AE$ are known, the length of $DB$ is:
  1. not determined by the information given
  2. determined only if $A$ is an acute angle
  3. determined only if $B$ is an acute angle
  4. determined only if $ABC$ is an acute triangle
  5. none of these is correct