Apply the triangle inequality theorem to determine whether sides with lengths of 4 inches 8 inches and 9 inches from a triangle
No all of the conditions are not met
No because two out of three conditions are met m
Yes the majority of the conditions are met
Yes all of the conditions are met
Please help
To determine whether the sides with lengths of 4 inches, 8 inches, and 9 inches form a triangle, we can apply the triangle inequality theorem.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Let's check if this condition is satisfied with the given lengths:
1) 4 inches + 8 inches = 12 inches > 9 inches
2) 4 inches + 9 inches = 13 inches > 8 inches
3) 8 inches + 9 inches = 17 inches > 4 inches
Since the sum of the lengths of any two sides is greater than the length of the remaining side in all cases, all of the conditions are met.
Therefore, the sides with lengths of 4 inches, 8 inches, and 9 inches form a triangle.
The answer is: Yes, all of the conditions are met.