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(8,9,2 )(3,5,7)(1,3,3)(5,3,2) which does not make up a triangle

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User Dpb
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1 Answer

5 votes
Most likely you are expected to recognize that side lengths 2, 3, 5 will result in a "triangle" of zero area (looks like a line segment).

The appropriate choice is
(5, 3, 2)

_____
Some authors write the triangle inequality as a + b ≥ c for any assignment of a, b, c to side lengths. The "or equal to ..." allows the triangle to have zero area (looks like a line segment). Other authors insist the inequality not include the "or equal to" case. It looks like your text's author is in the latter camp.
answered
User Tere
by
8.4k points

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