Jolie has three hog panels. Panel A is 3 feet long, panel B is 7 feet long, and panel C is 8 feet long. If the full length of each panel is used, can she build a triangular pen to hold her pet pig?
To determine if Jolie can build a triangular pen with the three hog panels, we need to check if the sum of the lengths of any two sides of the triangle is greater than the length of the third side.
Let's see if Jolie can build a triangle with the three hog panels:
1. Testing panels A and B:
Side A + Side B = 3 + 7 = 10
Side C = 8
Panel C is longer than the sum of panels A and B, so Jolie cannot build a triangle using panels A and B.
2. Testing panels A and C:
Side A + Side C = 3 + 8 = 11
Side B = 7
Panel B is longer than the sum of panels A and C, so Jolie cannot build a triangle using panels A and C.
3. Testing panels B and C:
Side B + Side C = 7 + 8 = 15
Side A = 3
Panel A is shorter than the sum of panels B and C, so Jolie can build a triangular pen using panels B and C.
Therefore, Jolie can build a triangular pen for her pet pig using panels B and C.