Question

question 9 1 pts the following three sides could make a triangle: 11, 3 and 8 true false

Explanation:

Step1: Recall triangle inequality theorem

The triangle inequality theorem states that for three side lengths \(a\), \(b\), and \(c\) to form a triangle, the sum of any two sides must be greater than the third side. Mathematically, this means \(a + b>c\), \(a + c>b\), and \(b + c>a\).

Step2: Check the sum of 3 and 8

We have the side lengths 11, 3, and 8. Let's check the sum of the two smaller sides, 3 and 8. \(3 + 8=11\).

Step3: Compare with the third side

According to the triangle inequality theorem, the sum of two sides must be strictly greater than the third side. Here, \(3 + 8 = 11\), which is not greater than 11 (it's equal). So, these three side lengths do not satisfy the triangle inequality theorem.

Answer:

False