Which of the following sets of numbers could represent the three sides of a triangle? {12,16,29}
{14,21,36}
{14,28,39}
{8,14,24}

{14,28,39}

Step-by-step explanation:

By the Triangle Inequality Theorem, if given side lengths , , and , where is the longest side of the triangle, then holds true.

For the first set of numbers, , so it doesn't represent the three sides of a triangle

For the second set of numbers, , so it doesn't represent the three sides of a triangle

For the third set of numbers, , so it does represent the three sides of a triangle

For the fourth set of numbers, , so it doesn't represent the three sides of a triangle

the two may have that, even a breakdown is probably offered