Can a triangle have sides with lengths 7, 13, and 9?
Is the longest side less than the sum of the other two sides ?
no?
7+9 > 13 so it should be fine.
so the answer is yes?
yes
thanks so much!! You are too cool!
To determine whether a triangle with side lengths 7, 13, and 9 is possible, we can apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Let's check if this condition holds true for the given lengths:
1. The sum of 7 and 13 is 20, which is greater than 9. ✓
2. The sum of 7 and 9 is 16, which is less than 13. ✗
3. The sum of 13 and 9 is 22, which is greater than 7. ✓
Since the second condition (7 + 9 < 13) is not satisfied, it means that a triangle cannot be formed with side lengths 7, 13, and 9.