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12 April, 05:12

Which set of line segments could create a right triangle?

15, 30, 35

15, 36, 39

15, 20, 29

5, 15, 30

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Answers (2)
  1. 12 April, 05:31
    0
    We will use the Pythagorean Theorem:

    a² + b² = c²

    A) 15² + 30² = 225 + 900 = 1125 ≠ 35²

    B) 15² + 36² = 225 + 1296 = 1521 = 39² (correct)

    C) 15² + 20² = 225 + 400 = 625 ≠ 29²

    D) 5² + 15² = 25 + 225 = 250 ≠ 30²

    Answer:

    B) 15, 36, 39
  2. 12 April, 05:36
    0
    A right triangle will satisfy Pythagoras Theorem:

    c² = a² + b²; where c is the longest side.

    The only segments satisfying this are

    15, 36, 39
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