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Question

Leo has three straws. They are 4 inches, 8 inches, and 10 inches long. Can he make a triangle using these three straws?

Option 1 = Yes

Option 2 = No

(1 point)

Option is the correct answer.

Check answer Remaining Attempts: 3

Answer 1

To determine if Leo can make a triangle with the straws, we can use the triangle inequality theorem. This theorem states that for any three sides of a triangle (let's call them \(a\), \(b\), and \(c\)), the following must be true:

1. \(a + b > c\)
2. \(a + c > b\)
3. \(b + c > a\)

Let's use the lengths of the straws: 4 inches, 8 inches, and 10 inches.

1. Check \(4 + 8 > 10\):

   • \(12 > 10\) (True)

2. Check \(4 + 10 > 8\):

   • \(14 > 8\) (True)

3. Check \(8 + 10 > 4\):

   • \(18 > 4\) (True)

Since all three conditions of the triangle inequality theorem are satisfied, Leo can make a triangle with the three straws.

The correct option is:

Option 1 = Yes