Question

34
multiple choice 2 points
which numbers could represent the lengths of the sides of a triangle?
5, 9, 14
7, 7, 15
3, 6, 8

Explanation:

Step1: Apply triangle inequality theorem

For three side lengths \(a\), \(b\), \(c\) (\(a\leq b\leq c\)), the triangle inequality theorem states \(a + b>c\).

For \(3\), \(6\), \(8\):

\(3+6 = 9>8\), \(3 + 8=11>6\), \(6+8 = 14>3\).

For \(5\), \(9\), \(14\):

\(5 + 9=14
ot>14\).

For \(7\), \(7\), \(15\):

\(7+7 = 14
ot>15\).

Answer:

\(3\), \(6\), \(8\)