Does the following statement show the conditions that must be met in order for the three side lengths -a, b, and c- to create a triangle. a < b + c and a > b - c
1 answer
Yes, the statement "a < b + c and a > b - c" shows the conditions that must be met in order for the three side lengths (a, b, and c) to create a triangle. These conditions are also known as the Triangle Inequality Theorem. According to this theorem, for a triangle with side lengths a, b, and c to exist, the sum of the lengths of any two sides must be greater than the length of the third side, and the difference of the lengths of any two sides must be less than the length of the third side.