Question

Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle. Side lengths of 4 cm, 3 cm, and 11 cma unique trianglemore than one triangleno triangle

Answer 1

Using the triangle inequality

The sum of the lenght of any two sides of a triangle is greater than the length of the third sides.

hence

Given the sides

Since

`\begin{gathered} 3+4>11 \\ \text{Which contradict the triangle inequality theorem} \end{gathered}`

hence

`\text{The figures those not form a triangle }`

Hence

The figures form no triangle