Question

question
which of the following sets of numbers could not represent the three sides of a
answer
{15,29,41}
{5,19,23}
{15,22,35}
{5,17,24}

Explanation:

Step1: Apply the triangle inequality theorem

For three side lengths \(a\), \(b\), \(c\) (where \(c\geq a\) and \(c\geq b\)), the triangle inequality theorem states that \(a + b>c\).

Step2: Check each set

• For \(\{15,29,41\}\): \(15 + 29=44>41\)
• For \(\{5,19,23\}\): \(5+19 = 24>23\)
• For \(\{15,22,35\}\): \(15+22=37>35\)
• For \(\{5,17,24\}\): \(5 + 17=22<24\)

Answer:

\(\{5,17,24\}\)