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So for this, we will be applying the Triangle Inequality Theorem, which states that the sum of 2 sides must be greater than the third side for it to be a triangle. If any inequality turns out to be false, then the set cannot be a triangle.
Let A = 6, B = 10, and C = 12:
Let A = 5, B = 7, and C = 10
Let A = 4, B = 4, and C = 9
Let A = 2, B = 3, and C = 3
Since the third option had an inequality that was false, <u>the third option cannot be a triangle.</u>
Answer:
A) 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (6, 7)
Point (5, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Divide: