Determine if the side lengths could form a triangle. Use an inequality to prove your answer. a) 16 m, 21 m, 39 m

b) 34 km, 27 km, 58 km

c) 29 ft, 38 ft, 9 ft

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  a) no

  b) yes

  c) maybe (no)

Step-by-step explanation:

There are two versions of the triangle inequality. One requires ...

  a + b > c

for any triple of side measures a, b, c.

The other allows ...

  a + b ≥ c

which admits "triangles" that have zero height and look like line segments.

Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.

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a)

b)

c)

d

step-by-step explanation:

d

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step-by-step explanation: