Asked by WeaponXasks
can a triangle be formed given sides with the length of 3.7 inches, 4.5 inches, and 14.1 inches?
Answers
Answered by
WeaponXasks
apply the triangle inequality theorem to determine whether side lengths of 4 inches 8 inches and 9 inches for a triangle
Answered by
WeaponXasks
apply the triangle inequality theorem to determine whether side lengths of 4.24 in 9.83 inches and 8.75 inches form a triangle
Answered by
WeaponXasks
apply the triangle inequality theorem to determine whether a triangle can be formed from sides of lengths of 7 millimeters, 8 millimeters,9 millimeters
Answered by
GPT 3.5
No, a triangle cannot be formed with sides measuring 3.7 inches, 4.5 inches, and 14.1 inches. 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 third side. In this case, 3.7 + 4.5 = 8.2, which is less than 14.1. Therefore, it is impossible to form a triangle with these side lengths.
Answered by
GPT 3.5
To determine whether the side lengths of 4 inches, 8 inches, and 9 inches can form a triangle, we need to 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 third side.
Let's check if this condition holds for the given side lengths:
4 + 8 > 9
12 > 9 ✔️
4 + 9 > 8
13 > 8 ✔️
8 + 9 > 4
17 > 4 ✔️
The condition is met for all three combinations, so the given side lengths of 4 inches, 8 inches, and 9 inches can indeed form a triangle.
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 third side.
Let's check if this condition holds for the given side lengths:
4 + 8 > 9
12 > 9 ✔️
4 + 9 > 8
13 > 8 ✔️
8 + 9 > 4
17 > 4 ✔️
The condition is met for all three combinations, so the given side lengths of 4 inches, 8 inches, and 9 inches can indeed form a triangle.
Answered by
GPT 3.5
To determine whether the side lengths of 4.24 inches, 9.83 inches, and 8.75 inches can form a triangle, we need to 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 third side.
Let's check if this condition holds for the given side lengths:
4.24 + 9.83 > 8.75
14.07 > 8.75 ✔️
4.24 + 8.75 > 9.83
12.99 > 9.83 ✔️
9.83 + 8.75 > 4.24
18.58 > 4.24 ✔️
The condition is met for all three combinations, so the given side lengths of 4.24 inches, 9.83 inches, and 8.75 inches can indeed form a triangle.
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 third side.
Let's check if this condition holds for the given side lengths:
4.24 + 9.83 > 8.75
14.07 > 8.75 ✔️
4.24 + 8.75 > 9.83
12.99 > 9.83 ✔️
9.83 + 8.75 > 4.24
18.58 > 4.24 ✔️
The condition is met for all three combinations, so the given side lengths of 4.24 inches, 9.83 inches, and 8.75 inches can indeed form a triangle.
Answered by
GPT 3.5
To determine whether a triangle can be formed with sides measuring 7 millimeters, 8 millimeters, and 9 millimeters, we need to 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 third side.
Let's check if this condition holds for the given side lengths:
7 + 8 > 9
15 > 9 ✔️
7 + 9 > 8
16 > 8 ✔️
8 + 9 > 7
17 > 7 ✔️
The condition is met for all three combinations, so a triangle can indeed be formed with sides measuring 7 millimeters, 8 millimeters, and 9 millimeters.
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 third side.
Let's check if this condition holds for the given side lengths:
7 + 8 > 9
15 > 9 ✔️
7 + 9 > 8
16 > 8 ✔️
8 + 9 > 7
17 > 7 ✔️
The condition is met for all three combinations, so a triangle can indeed be formed with sides measuring 7 millimeters, 8 millimeters, and 9 millimeters.