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I need to know if I got number 13 right

I Need To Know If I Got Number 13 Right class=

Sagot :

The given side lengths are 38mm, 45mm, and 82mm.

It is required to use inequalities to prove if the side lengths could form a triangle.

Recall the Triangle Inequality Theorem: The Triangle Inequality Theorem states that the sum of the measures of two sides of a triangle is greater than the measure of the third side.

Check the inequality:

[tex]\begin{gathered} 38+45>82\Rightarrow83>82-True \\ 38+82>45\Rightarrow120>45-True \\ 45+82>38\Rightarrow127>38-True \end{gathered}[/tex]

Hence, the side lengths can form a triangle.

The required inequality is 38+45>82.

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