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Can the following side lengths form a triangle?

Can the following side lengths form a triangle?-example-1

1 Answer

7 votes

Answer:

no

Explanation:

The triangle inequality requires the sum of the shorter two sides exceed the length of the longest one. Here, we have ...

10 +12 = 22 . . . . does not exceed 22

The lengths will not form a triangle.

_____

Additional comment

Some authors write the triangle inequality as ...

a +b ≥ c

If this is the one your curriculum author uses, then these side lengths will form a triangle.

answered
User K Arun Singh
by
8.2k points

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