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24 August, 10:08

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

A. 2 cm, 5 cm, 7 cm

B. 9 cm, 14 cm, 17 cm

C. 7 cm, 17 cm, 24 cm

D. 5 cm, 12 cm, 13 cm

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Answers (1)
  1. 24 August, 10:17
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    Conditions for side lenghts for triangle:

    a
    b
    c
    so we check all posibilities:

    A) 2+5=7 we can see that one condition is not fulfilled so they can't be side lenghts of triangle

    B) 9<14+17

    14<9+17

    17<14+19

    All conditions are fulfilled so they can be side lenghts of triangle

    C) 7<17+24

    17<7+24

    24<17+7

    All conditions are fulfilled so they can be side lenghts of triangle

    D) 5<12+13

    12<5+13

    13<5+12

    All conditions are fulfilled so they can be side lenghts of triangle
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