Respuesta :

Answer:

Yes, you can make a triangle with it

Step-by-step explanation:

Given

[tex]Lengths: 9in, 4in, 6in[/tex]

Required

Do the lengths form a valid triangle

To do this, we make use of triangle inequality theorem which states that;

For sides a, b and c;

[tex]a + b > c[/tex]

[tex]b + c >a[/tex]

[tex]a + c > b[/tex]

So, we have:

[tex]9 + 4 > 6[/tex] -- true

[tex]4 + 6 > 9[/tex] -- true

[tex]6 + 9 > 4[/tex] -- true

Since all the inequalities are true, then the sides form a valid triangle

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