Question

Lisa has three hog panels. Panel A is 6 feet long, panel B is 8 feet long, and panel C is 3 feet long. If the full length of each panel is used, can she build a triangular pen to hold her pet pig? pick 1
A.
yes, 8 - 3 > 6
B.
no, 8 - 6 < 3
C.
yes, 6 + 3 > 8
D.
no, 6 + 3 < 8

Answer 1

To determine if Lisa can build a triangular pen with the given hog panels, we need to check the triangle inequality theorem, which states that for any triangle with sides of lengths a, b, and c, the following must hold true:

1. a + b > c
2. a + c > b
3. b + c > a

Let's assign the lengths of the panels:
- A = 6 feet
- B = 8 feet
- C = 3 feet

Now we can check the inequalities:

1. 6 + 3 > 8 (True, because 9 > 8)
2. 6 + 8 > 3 (True, because 14 > 3)
3. 8 + 3 > 6 (True, because 11 > 6)

Since all three inequalities hold true, Lisa can indeed build a triangular pen. Therefore, the correct answer is:

C. yes, 6 + 3 > 8