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28 June, 08:56

Which measures would be the side lengths of a right triangle?

OA) 2 cm, 5 cm, 7 cm

OB) 9 cm, 14 cm, 17 cm

OC) 7 cm, 17 cm, 24 cm

OD) 5 cm, 12 cm, 13 cm

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  1. 28 June, 09:08
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    D) 5 cm, 12 cm, 13 cm

    Step-by-step explanation:

    Use Pythagoras' Theorem for each option.

    a^2 + b^2 = c^2

    Option A:

    4 + 25 ≠ 49

    Option B:

    81 + 196 ≠ 289

    Option C:

    49 + 289 ≠ 576

    Option D:

    25 + 144 = 169

    Therefore Option D is the only feasible set of measurements for a right angle triangle
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