Leo has three straws. They are 4 inches, 8 inches, and 10 inches long. Can he make a triangle using these three straws?
Option 1 = Yes
Option 2 = No
(1 point)
Option 1 = Yes
To determine if Leo can make a triangle using the three straws, we need to use the Triangle Inequality Theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's check if this holds true for Leo's straws:
1. The sum of the lengths of the 4-inch and 8-inch straws is 4 + 8 = 12 inches, which is greater than the length of the 10-inch straw.
2. The sum of the lengths of the 4-inch and 10-inch straws is 4 + 10 = 14 inches, which is greater than the length of the 8-inch straw.
3. The sum of the lengths of the 8-inch and 10-inch straws is 8 + 10 = 18 inches, which is greater than the length of the 4-inch straw.
Since the sum of the lengths of any two sides is greater than the length of the third side, Leo can indeed make a triangle using these three straws.
Therefore, the answer is Option 1 = Yes.