If a triangle is being created and has side lengths of 12 inches and 10 inches, which measure below will create a triangle?
2 inches or more,
3 inches or more
any length greater than 2 inches,
um, what
In order to create a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Given that the side lengths of the triangle are 12 inches and 10 inches, we can determine which measure would create a triangle:
- Any length greater than 2 inches: This is true since the sum of the smallest side length (10 inches) and 2 inches is 12 inches, which is greater than the remaining side length (12 inches). Therefore, any length greater than 2 inches would create a triangle.
- 2 inches or more: This is also true since the sum of the smallest side length (10 inches) and 2 inches is 12 inches, which is equal to the remaining side length. Therefore, any length equal to or greater than 2 inches would create a triangle.
- 3 inches or more: This is true since the sum of the smallest side length (10 inches) and 3 inches is 13 inches, which is greater than the remaining side length (12 inches). Therefore, any length greater than 3 inches would create a triangle.
So, all three measures: "2 inches or more," "3 inches or more," and "any length greater than 2 inches" would create a triangle.