Question

steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?

Explanation:

Step1: Check triangle inequality for first option

For lengths \(2\), \(2\), \(7\): \(2 + 2=4<7\).

Step2: Check triangle inequality for second option

For lengths \(1\), \(4\), \(6\): \(1+4 = 5<6\).

Step3: Check triangle inequality for third option

For lengths \(3\), \(2\), \(6\): \(3+2=5<6\).

Step4: Check triangle inequality for fourth option

For lengths \(3\), \(4\), \(4\):

• \(3 + 4=7>4\)
• \(4+4 = 8>3\)
• \(3+4=7>4\)

Answer:

The diagram with lengths \(3\) ft, \(4\) ft, \(4\) ft.