Question

question
which of the following sets of numbers could represent the three sides of a
triangle?
answer
{9,15,26}
{10,21,32}
{5,13,20}
{5,11,15}

Explanation:

Step1: Apply triangle inequality theorem

For a set of numbers \(a,b,c\) to be the sides of a triangle, the sum of any two sides must be greater than the third side.
For \(\{5,11,15\}\):
\(5 + 11=16>15\), \(5+15 = 20>11\), \(11 + 15=26>5\)
For \(\{9,15,26\}\):
\(9+15 = 24<26\)
For \(\{5,13,20\}\):
\(5+13=18<20\)
For \(\{10,21,32\}\):
\(10 + 21=31<32\)

Answer:

\(\{5,11,15\}\)