Mario has poles that are 6 feet, 9 feet, and 12 feet long. Can Mario make a triangle with these poles?

Yes, because 6+9>12.

Yes, because 6+9<12.

No, because 6+9>12.

No, because 6+9<12.

Respuesta :

Answer:

Yes, because 6+9>12.

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

so

Applying the triangle inequality theorem

1) [tex]6+9>12[/tex]

[tex]15> 12[/tex] ----> is true

2) [tex]6+12 > 9[/tex]

[tex]18> 9[/tex] ---> is true

3) [tex]9+12>6[/tex]

[tex]21> 6[/tex] ---> is true

therefore

Yes , Mario  can make a triangle with these poles

because, the three poles satisfy the triangle inequality theorem