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?
A. 2ft, 2ft, 7ft
B. 1ft, 4ft, 6ft
C. 3ft, 2ft, 6ft
D. 3ft, 4ft, 4ft

Answer 1

D, can form a trangle 

Answer 2

It is given :Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden . We need to find  the measure of the pieces made by Steven so that a triangle can be formed.

By Triangle Inequality Theorem we have: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If we look at the options Option D is fulfilling this property  that is sum of two sides is greater than the third side. The given sides in option D are 3ft, 4ft, 4ft

3+4> 4

4+4>3

4+3>4

Sum of two sides of the trian gle is always greater than the third side .

Option D : 3ft, 4ft, 4ft is the right option.