determine whether these three side lengths will form a triangle: 6 cm, 8 cm, and 10 cm.(1 point) responses
they cannot form a triangle because the sum of any two of the side lengths is greater than the length of the third side. they cannot form a triangle because the sum of any two of the side lengths is greater than the length of the third side. they will form a triangle because the sum of any two of the side lengths is greater than the length of the third side. they will form a triangle because the sum of any two of the side lengths is greater than the length of the third side. they cannot form a triangle because the sum of any two of the side lengths is less than the length of the third side. they cannot form a triangle because the sum of any two of the side lengths is less than the length of the third side. they will form a triangle because the sum of any two of the side lengths is less than the length of the third side.
they will form a triangle because the sum of any two of the side lengths is greater than the length of the third side.
They will form a triangle because the sum of any two of the side lengths is greater than the length of the third side.
The correct response is: "They will form a triangle because the sum of any two of the side lengths is greater than the length of the third side."
To determine whether these three side lengths will form a triangle, we need to check if the sum of any two sides is greater than the length of the third side. In this case, we have side lengths of 6 cm, 8 cm, and 10 cm.
Let's check:
- The sum of 6 cm and 8 cm is 14 cm, which is greater than 10 cm.
- The sum of 6 cm and 10 cm is 16 cm, which is greater than 8 cm.
- The sum of 8 cm and 10 cm is 18 cm, which is greater than 6 cm.
Since the sum of any two of the side lengths is greater than the length of the third side, these side lengths will form a triangle.