1.5 Trigonometric Functions: Quiz

Problem 3

Consider the following triples of numbers. If each triple is considered as the sides of a triangle, which combinations are right triangles?

  1. 1, 1, 1.73205081
  2. 0.83333333, 2, 2.16666667
  3. 1, 2, 2.23606798
  4. 2, 3, 5
  5. 1, 2, 5
  6. 30, 40, 50

Answers, problem 3

  1. 12 + 12 = 2 ≠ 1.732050812
  2. 0.833333332 + 22 = 4.69444444 = 2.166666672 correct
  3. 12 + 22 = 5 = 2.236067982 correct
  4. 22 + 32 = 25 = 52
  5. 12 + 22 = 5 ≠ 52
  6. 302 + 402 = 2500 = 502 correct

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