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}

Sur Max asked Apr 5, 2023

74,261 views

21 votes

Sur Max asked Apr 5, 2023

2.7k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

20 votes

Answer:

{8, 23, 31}

Step-by-step 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.

Kapobajza answered Apr 10, 2023

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers