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AMC10 2027 - Self-practice Set 5 Question 18

AMC10 · AMC10 2027 - Self-practice Set 5

Question 18

Real numbers $x,y$ are chosen independently and uniformly from $[0,1]$. Which value is closest to the probability that $x,y,1$ are the side lengths of an obtuse triangle?
  1. $0.21$
  2. $0.25$
  3. $0.29$
  4. $0.50$
  5. $0.79$