Question
Complete the condition statements that be met in order for three side lengths a,b, and c to create a triangle
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The condition statements that must be met in order for three side lengths a, b, and c to create a triangle are as follows:
1. Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
- a + b > c
- b + c > a
- c + a > b
2. None of the side lengths can be negative: a, b, and c must all be positive real numbers.
3. The sum of any two side lengths must be greater than zero: a + b > 0, b + c > 0, and c + a > 0.
These conditions ensure that a, b, and c can form a closed, two-dimensional figure known as a triangle.
1. Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
- a + b > c
- b + c > a
- c + a > b
2. None of the side lengths can be negative: a, b, and c must all be positive real numbers.
3. The sum of any two side lengths must be greater than zero: a + b > 0, b + c > 0, and c + a > 0.
These conditions ensure that a, b, and c can form a closed, two-dimensional figure known as a triangle.
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