To determine which planks Amanda should use to build a triangular-shaped kennel, we must apply the Triangle Inequality Theorem. This theorem states that for any three lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Given the lengths:
1 foot, 3 feet, 5 feet, and 6 feet
Let's test all possible combinations of three lengths:
1. 1 ft, 3 ft, and 5 ft:
- 1 + 3 > 5 → 4 is not greater than 5
- This combination cannot form a triangle.
2. 1 ft, 3 ft, and 6 ft:
- 1 + 3 > 6 → 4 is not greater than 6
- This combination cannot form a triangle.
3. 1 ft, 5 ft, and 6 ft:
- 1 + 5 > 6 → 6 is not greater than 6
- This combination cannot form a triangle.
4. 3 ft, 5 ft, and 6 ft:
- 3 + 5 > 6 → 8 is greater than 6
- 3 + 6 > 5 → 9 is greater than 5
- 5 + 6 > 3 → 11 is greater than 3
- This combination can form a triangle.
Therefore, the correct planks that Amanda should use to form a triangular-shaped kennel are:
Amanda should use the three wooden planks of lengths
B. 3 ft,
C. 5 ft,
and
D. 6 ft.
Select the correct answer from each drop-down menu.
Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 1 foot, 3 feet, 5 feet, and 6 feet. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.
Amanda should use the three wooden planks of lengths
A. 1 ft
B. 3 ft
C. 5 ft
D. 6 ft
,
A. 1 ft
B. 3 ft
C. 5 ft
D. 6 ft
,
and
A. 1 ft
B. 3 ft
C. 5 ft
D. 6 ft
1 answer
1 answer