Apply the Triangle Inequality Theorem to determine whether a triangle can be formed from sides of lengths 7 millimeters, 8 millimeters, and 9 millimeters. (1 point)
O Yes, because the sum of any two sides is greater than the third side.
O No, because the sum of any two sides is greater than the third side.
Yes, because the sum of any two sides is less than the third side.
O No, because the sum of any two sides is less than the third side.
No, because the sum of any two sides is greater than the third side.
To determine whether a triangle can be formed from sides of lengths 7 millimeters, 8 millimeters, and 9 millimeters, we will apply the Triangle Inequality Theorem.
According to the theorem, for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check this condition with the given side lengths:
Side 1: 7 millimeters
Side 2: 8 millimeters
Side 3: 9 millimeters
Sum of Side 1 and Side 2: 7 + 8 = 15 millimeters
The length of Side 3: 9 millimeters
The sum of Side 1 and Side 2 (15 millimeters) is indeed greater than the length of Side 3 (9 millimeters).
Therefore, we can conclude that a triangle can be formed from sides of lengths 7 millimeters, 8 millimeters, and 9 millimeters.
The correct answer choice is:
O Yes, because the sum of any two sides is greater than the third side.