Question

(a) problem 10: (first taught in lesson 45) tell whether the following numbers can represent the side lengths of a triangle: 9, 7, 4. after you pick your answer press go. yes no go

Explanation:

Step1: Apply triangle inequality theorem

Check if \(a + b>c\), \(a + c>b\), and \(b + c>a\) where \(a = 4\), \(b = 7\), \(c = 9\).
First, \(4+7>9\): \(4 + 7=11\) and \(11>9\).

Step2: Check second inequality

Check \(4 + 9>7\): \(4+9 = 13\) and \(13>7\).

Step3: Check third inequality

Check \(7+9>4\): \(7 + 9=16\) and \(16>4\).

Answer:

Yes