JeremieE362444 JeremieE362444
  • 25-10-2022
  • Mathematics
contestada

Determine whether a triangle can have the following sides with the given lengths

Determine whether a triangle can have the following sides with the given lengths class=

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KaylyF413587 KaylyF413587
  • 25-10-2022

For the length to be sides of a triangle, the sum of any two sides triangle must be greater than third side.

[tex]\begin{gathered} 19+5>15 \\ 24>15 \end{gathered}[/tex]

Condition is true.

[tex]\begin{gathered} 15+5>19 \\ 20>19 \end{gathered}[/tex]

Condition is true.

[tex]\begin{gathered} 19+15>5 \\ 34>5 \end{gathered}[/tex]

Condition is true.

The triangle inequality satisfied for the triangle. So length belongs to a side of triangle.

Answer: yes

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