Question

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.

Answer 1

Yes, because 6+9>12.

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)
`6+9>12`

`15> 12` ----> is true

2)
`6+12 > 9`

`18> 9` ---> is true

3)
`9+12>6`

`21> 6` ---> is true

therefore

Yes , Mario can make a triangle with these poles

because, the three poles satisfy the triangle inequality theorem