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20 September, 21:18

Determine if it is possible to form a triangle using the set of segments with the given

measurements. Explain your reasoning.

a. 7 in., 8.7 in., 15.4 in.

b. 12 m, 5 m, 18.9 m

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Answers (1)
  1. 20 September, 22:33
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    a. yes, see answer for reasoning

    b. no, see answer for reasoning

    Step-by-step explanation:

    to determine the possibility of a triangle, you must know that for any a, b, c side lengths of a triangle, these must be true:

    a+b>c

    a+c>b

    b+c>a

    this means that the sums of the measures of two legs of a triangle must be greater than the measure of the remaining leg.

    a. 7+8.7=15.7> 15.4 yes

    7+15.4=22.4>8.7 yes

    8.7+15.4=24.1>7 yes

    this triangle is possible.

    b. 12+5=17 is NOT > 18.9

    the above reasoning is not true, so this triangle is impossible.
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