Question

Which of the following sets of numbers could not represent the three sides of a triangle? O {8,16, 21} O {12, 17, 27} O {8, 23, 31} O {5,8,11}

Answer 1

Answer:

{8, 23, 31}

Explanation:

For any three sides, a b, and c to form the three sides of a triangle, it must satisfy the triangle inequality:

$\begin{gathered} a+bIn the side lengths {8, 23, 31}:[tex]\begin{gathered} 8+23=31 \\ 23+31=54\text{ which is not less than 8} \end{gathered}$

Thus, {8, 23, 31} cannot represent the three sides of a triangle.