Respuesta :

GIVEN

A triangle with sides 8 ft, 9 ft, and 11 ft.

SOLUTION

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side:

[tex]a+b\ge c[/tex]

For the triangle with sides 8 ft, 9 ft, and 11 ft, the triangle inequality can be applied as follows:

[tex]\begin{gathered} 8+9>11 \\ 8+11>9 \\ 9+11>8 \end{gathered}[/tex]

Therefore, the sides can form a triangle.

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