Question

Ellis wants to make a triangular garden by usinglumber as the border. Which of the followinglengths of lumber could be used to create histriangular garden?6 feet, 31 feet, 12 feet31 feet, 18 feet, 12 feet5 feet, 7 feet, 12 feetO 6 feet, 12 feet, 7 feet

Answer 1

For a triangle to be formed, the sum of the length of any two sides of the triangle must be greater than the length of the third side. Therefore, the lengths of the lumber that could be used to create his triangular garden will be

$\begin{gathered} \text{ 6 fe}et,\text{ 12 fe}et,\text{ 7 fe}et \\ 6+12>7 \\ 12+7>6 \\ 6+7>12 \end{gathered}$