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.