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2 years ago

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.

Mathematics

1 answer:

podryga [215]2 years ago

7 0

9514 1404 393

Answer:

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.

$16+21=37\ngtr39\qquad\text{not a triangle}$

$27+34=61>58\qquad\text{could be a triangle}$

$9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}$

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Given

To properly solve this question, I illustrate some given parameters using attached image

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