To determine if the lengths 3 feet, 4 feet, and 5 feet can form a triangle, we need to apply the Triangle Inequality Theorem. This theorem states that 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 the three conditions:
-
3 feet + 4 feet > 5 feet:
\(3 + 4 = 7\) which is greater than 5. ✔️ -
3 feet + 5 feet > 4 feet:
\(3 + 5 = 8\) which is greater than 4. ✔️ -
4 feet + 5 feet > 3 feet:
\(4 + 5 = 9\) which is greater than 3. ✔️
Since all three conditions are met, the correct response is:
Yes, because the sum of any two sides is greater than the third side.