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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

Respuesta :

SOLUTION

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

[tex]4\operatorname{cm},3\operatorname{cm}\text{.amd 11 cm}[/tex]

Since

[tex]\begin{gathered} 3+4>11 \\ \text{Which contradict the triangle inequality theorem} \end{gathered}[/tex]

hence

[tex]\text{The figures those not form a triangle }[/tex]

Hence

The figures form no triangle

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