Answer:
- yes
- no
Step-by-step explanation:
For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.
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1)
7 + 11 = 18 > 14 . . . . Will make a triangle.
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2)
2 + 8 = 10 . . . not greater than 10. Will not make a triangle.
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This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...
a +b > c and b +c > a and c +a > b
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Additional comment
There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.
