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29 July, 22:30

Using Pythagorean inequalities, determine which of the following sets of values could represent the lengths of the sides of an obtuse triangle.

A. 11, 12, 22

B. 5, 12, 13

C. 7, 8, 9

D. 5, 6, 1

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Answers (1)
  1. 30 July, 00:04
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    We have to plug in each set into the Pythagorean theorem:

    A) 11² + 12²? 22²

    121 + 144? 484

    265 < 484 (obtuse)

    B) 5² + 12²? 13²

    25 + 144 = 169 (right triangle)

    C) 7² + 8²? 9²

    49 + 64? 81

    113 > 81 (acute)

    D) 1 + 5 = 6 (not a triangle)

    Answer : A) 11, 12, 22
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