can the following side lengths form a triangle?
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Answer:
no
Step-by-step 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.
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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.