Question

9. Apply the Triangle Inequality Theorem to determine which three side lengths from a triangle.
A. 3, 6, 2
B. 9, 7, 18
C. 3, 10, 18
D. 8, 5, 2

Answer 1

Bby girl this ain't no mulitple choice you gotta pick one honey

Answer 2

Wrogn

Answer 3

To determine which three side lengths form a triangle, we apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's evaluate the side lengths for each set of numbers:

A. 3, 6, 2
3 + 2 > 6 (True)
2 + 6 > 3 (True)
3 + 6 > 2 (True)
These side lengths form a triangle.

B. 9, 7, 18
9 + 7 > 18 (False)
7 + 18 > 9 (True)
9 + 18 > 7 (True)
These side lengths do not form a triangle.

C. 3, 10, 18
3 + 10 > 18 (False)
10 + 18 > 3 (True)
3 + 18 > 10 (True)
These side lengths do not form a triangle.

D. 8, 5, 2
8 + 5 > 2 (True)
5 + 2 > 8 (True)
8 + 2 > 5 (True)
These side lengths form a triangle.

Therefore, the side lengths that form a triangle are:
A. 3, 6, 2
D. 8, 5, 2

Answer 4

My apologies for providing multiple choices when you asked for a single answer. After evaluating the sets of side lengths, the set that does not satisfy the Triangle Inequality Theorem and therefore does not form a triangle is:

B. 9, 7, 18

Answer 5

I apologize for the error in my previous responses. Let's evaluate the sets of side lengths again and determine which set does not form a triangle.

A. 3, 6, 2
3 + 2 > 6 (True)
2 + 6 > 3 (True)
3 + 6 > 2 (True)
These side lengths form a triangle.

B. 9, 7, 18
9 + 7 > 18 (False)
7 + 18 > 9 (True)
9 + 18 > 7 (True)
These side lengths do not form a triangle.

C. 3, 10, 18
3 + 10 > 18 (True)
10 + 18 > 3 (True)
3 + 18 > 10 (True)
These side lengths form a triangle.

D. 8, 5, 2
8 + 5 > 2 (True)
5 + 2 > 8 (True)
8 + 2 > 5 (True)
These side lengths form a triangle.

Therefore, the set of side lengths that does not form a triangle is:
B. 9, 7, 18

Thank you for your patience.