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24 May, 17:13

Which are the side lengths of a right triangle? Check all that apply.

3, 14, and sqrt205

6, 11, and sqrt158

19, 180, and sqrt181

3, 19, and sqrt380

2,9, and sqrt85

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Answers (2)
  1. 24 May, 17:35
    0
    3, 14, and sqrt205.

    2,9, and sqrt85.

    Step-by-step explanation:

    Check if they fit the Pythagoras theorem c^2 = a^2 + b^2:

    3^2 = 9, 14^2 = 196.

    9 + 196 = 205 which is the square of sqrt205.

    So this is a right angled triangle.

    6^2 + 11^2 = 36 + 121

    = 157 Not right-angled.

    19^2 + 180^2 = 32761 Not right-angled.

    3^2 + 19^2 = 370 Not right-angled.

    2^2 + 9^2 = 85, So this is right angled ...
  2. 24 May, 17:38
    0
    1 3 5
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