QUESTION IMAGE
Question
can you make a triangle with side lengths: 3, 4, and 7
yes
maybe
no
i am not sure.
Step1: Apply triangle inequality theorem
For three side lengths \(a\), \(b\), \(c\) (where \(c\) is the longest side), the triangle inequality theorem states \(a + b>c\). Here \(a = 3\), \(b = 4\), \(c = 7\).
Step2: Check the inequality
Calculate \(a + b\): \(3+4 = 7\). Since \(3 + 4=7\) (not \(3 + 4>7\)), the triangle inequality is not satisfied.
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C. No