Question

problem 8: (lesson 45) tell whether the following numbers can represent the side lengths of a triangle: 2, 13, 8. after you pick your answer press go. yes no go

Explanation:

Step1: Recall triangle inequality theorem

For three side lengths \(a\), \(b\), \(c\) (\(a\leqslant b\leqslant c\)), the sum of the two shorter sides must be greater than the longest side (\(a + b>c\)).
Here \(a = 2\), \(b = 8\), \(c = 13\).

Step2: Check the sum of the two shorter sides

Calculate \(a + b\): \(2+8 = 10\).
Compare \(a + b\) with \(c\): \(10<13\).

Answer:

No