Apply the Triangle Inequality Theorem to determine whether sides with lengths of 5 inches, 10 inches, and 15 inches form a triangle. (1 point)
O Yes, because the sum of 5 + 10 is not greater than 15.
No, because the sum of 5 + 10 is not greater than 15.
Yes, the majority of the conditions are met.
Yes, because the sum of 5 + 10 is less than or equal to 15.
No, because the sum of 5 + 10 is not greater than 15.
To apply the Triangle Inequality Theorem, we need to check if the sum of any two sides of the triangle is greater than the third side.
In this case, let's check if the sum of the lengths of the sides 5 inches and 10 inches is greater than the length of the third side, which is 15 inches.
So, 5 + 10 = 15.
Since the sum of the lengths of the sides 5 inches and 10 inches is equal to the length of the third side (15 inches) and not greater, the Triangle Inequality Theorem is not satisfied.
Therefore, the correct answer is: No, because the sum of 5 + 10 is not greater than 15.
To apply the Triangle Inequality Theorem, we need to check if the sum of the lengths of any two sides of the triangle is greater than the length of the remaining side.
In this case, we have side lengths of 5 inches, 10 inches, and 15 inches. Let's check all possible combinations:
- 5 + 10 = 15 (not greater than 15)
- 5 + 15 = 20 (greater than 10)
- 10 + 15 = 25 (greater than 5)
Since the sum of the lengths of any two sides is always greater than the length of the remaining side, we can conclude that the sides with lengths of 5 inches, 10 inches, and 15 inches do form a triangle.
Therefore, the correct option is: Yes, the majority of the conditions are met.