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Can 16m , 21m , 39m make a triangle

1 Answer

4 votes

Answer:

No, since they fail the Triangle Inequality Theorem as 16 + 21 is less than 39.

Explanation:

  • According to the Triangle Inequality Theorem, three side lengths are able to form a triangle if and only if the sum of any two sides is greater than the length of the third side.
  • We see that 16 + 21 = 37 which is less than 39.

Thus, the three side lengths fail the Triangle Inequality Theorem so they can't form a triangle.

  • We don't have to check if 16 + 39 is greater than 29 or if 21 + 39 is greater than 16 because all three sums must be greater than the third side in order for three side lengths to form a triangle.
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