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

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) $6+9>12$

$15> 12$ ----> 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