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26 April, 20:52

If two sides of a triangle measure 12 and 7, which cannot be the perimeter of the triangle

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Answers (2)
  1. 26 April, 21:03
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    A

    if 12 is the longest and 7 is the shortest then that would mean the addition of another 7 would be 28, no matter the triangle it is impossible for the perimeter to equal 29
  2. 26 April, 21:08
    0
    Hello Tovarmackenzie!

    We can utilize the Triangle Inequality Theorem, Which states

    A + B > C

    A + C > B

    B + C > A

    With that said, we are going look for C.

    We know that

    12 + 7 > C

    So

    19 > C

    OR

    C < 19

    So our 3rd leg has to be less than 19.

    So if we make C = 18.999 and Sum up all the sides, 12 + 7 + 18.999 = 37.999

    this means the max perimeter is 37.999 ... so we know D: 38 cannot be the perimeter.
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