10.
The lengths of two sides of a triangle are 9 and 15. What can be said about the length of the third side? (1 point)

It must be greater than or equal to 6 and less than 24.
It must be greater than or equal to 6 and at most 24.
It must be greater than 6 and less than 24.
It must be greater than 6 and at most 24.

Question

10.  
The lengths of two sides of a triangle are 9 and 15.  What can be said about the length of the third side?  (1 point)

    It must be greater than or equal to 6 and less than 24.
    It must be greater than or equal to 6 and at most 24.
    It must be greater than 6 and less than 24.
    It must be greater than 6 and at most 24.

anonymous · Answer

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the the measure of the third side. 
Otherwise, you cannot create a triangle from the 3 sides.
This rule must be satisfied for all 3 permutations of the sides. In other words, as soon as you know that the sum of 2 sides is less than the measure of a third side, then you know that the sides do not make up a triangle . 
$$A + B > C$$
$$B + C > A$$
$$A + C > B$$

anonymous · Answer

so would it be It must be greater than 6 and at most 24?

anonymous · Answer

yesh i think lol

anonymous · Answer

okay(: haha thanks for your help!!(: