Apply the Triangle Inequality Theorem to determine if sides with lengths of 3 feet, 4 feet, and 5 feet form a triangle.(1 point)
Responses
Yes, because the sum of any two sides is greater than the third side.
Yes, because the sum of any two sides is greater than the third side.
No, because two out of three conditions are met.
No, because two out of three conditions are met.
Yes, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is less than the third side.
No, because the sum of any two sides is less than the third side.
No, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is greater than the third side.
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
For the given lengths of 3 feet, 4 feet, and 5 feet:
3 + 4 > 5 (7 > 5) - True
3 + 5 > 4 (8 > 4) - True
4 + 5 > 3 (9 > 3) - True
Since all three conditions are met, the sides of lengths 3 feet, 4 feet, and 5 feet can indeed form a triangle.