Question

which of the following sets of numbers could represent the three sides of a triangle? answer {5,20,25} {6,21,27} {6,12,15} {7,21,29} submit answer

Explanation:

Step1: Apply triangle inequality theorem

For a set of numbers \(a,b,c\) (where \(c\) is the largest number), the triangle inequality theorem states that \(a + b>c\).

• For the set \(\{5,20,25\}\):

\(5+20 = 25\), and \(25
ot>25\).

• For the set \(\{6,21,27\}\):

\(6 + 21=27\), and \(27
ot>27\).

• For the set \(\{6,12,15\}\):

\(6+12 = 18\), and \(18>15\).

• For the set \(\{7,21,29\}\):

\(7+21=28\), and \(28
ot>29\).

Answer:

\(\{6,12,15\}\)