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what- can a triangle be formed using side lengths 2 1/4m?
no
Can a triangle be formed using side lengths 5.4 12.3 and 9.2?
Yes it can.
When a triangle is formed from three given side lengths is the triangle a unique triangle or can more than one triangle be formed using those same side lengths explain?
A triangle formed from three given side lengths can be either unique or non-unique depending on the specific lengths. If the triangle inequality theorem is satisfied (the sum of the lengths of any two sides must be greater than the length of the third side), then only one unique triangle can be formed. However, if the side lengths are such that they can form a degenerate triangle (where the sum of two sides equals the third), or if two sides are equal and the third side allows for more than one valid configuration (as in some cases with isosceles triangles), more than one triangle can potentially be formed. In general, for three distinct side lengths that satisfy the triangle inequality, only one triangle exists.
Can a triangle be formed with three side of length explain using the model above?
A triangle can be formed if the lengths of the three sides satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. For example, if you have sides of lengths 3, 4, and 5, you can check: 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Since all these conditions hold true, a triangle can indeed be formed with these side lengths. If any of the inequalities fail, a triangle cannot be formed.
Can a triangle be formed with side lengths of 2 3 and 6?
No. With the given side lengths the sum of the two shorter sides do not exceed the length of the longest side and would not meet to form a triangle
what- can a triangle be formed using side lengths 3.2 m?
no
what- can a triangle be formed using side lengths 2 1/4m?
no
Can a triangle be formed using side lengths 5.4 12.3 and 9.2?
Yes it can.
When a triangle is formed from three given side lengths is the triangle a unique triangle or can more than one triangle be formed using those same side lengths explain?
A triangle formed from three given side lengths can be either unique or non-unique depending on the specific lengths. If the triangle inequality theorem is satisfied (the sum of the lengths of any two sides must be greater than the length of the third side), then only one unique triangle can be formed. However, if the side lengths are such that they can form a degenerate triangle (where the sum of two sides equals the third), or if two sides are equal and the third side allows for more than one valid configuration (as in some cases with isosceles triangles), more than one triangle can potentially be formed. In general, for three distinct side lengths that satisfy the triangle inequality, only one triangle exists.
Can a triangle be formed with three side of length explain using the model above?
A triangle can be formed if the lengths of the three sides satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. For example, if you have sides of lengths 3, 4, and 5, you can check: 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Since all these conditions hold true, a triangle can indeed be formed with these side lengths. If any of the inequalities fail, a triangle cannot be formed.
Can a triangle be formed with side lengths of 2 3 and 6?
No. With the given side lengths the sum of the two shorter sides do not exceed the length of the longest side and would not meet to form a triangle
Can a triangle be formed using side lengths 5.4 m 12.3 and 9.2 m?
Yes because the sum of the smaller sides are greater than the longest side
How do you classify a triangle with 3 given side lengths?
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
How many triangles exist with the given side lengths 2mm 6mm 10mm?
No triangle can be formed with the side lengths of 2mm, 6mm, and 10mm because they do not satisfy the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 2mm + 6mm is not greater than 10mm, so these lengths cannot create a triangle. Thus, there are zero triangles that can be formed with those side lengths.
How many triangles exist with the given side lengths 4m 4m 7m?
To determine the number of triangles that can be formed with side lengths of 4m, 4m, and 7m, we can use the triangle inequality theorem. For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 4m + 4m = 8m, which is greater than 7m. Therefore, a triangle can be formed. Since all three sides are equal in length, this triangle is an equilateral triangle. So, there is only one triangle that can be formed with side lengths of 4m, 4m, and 7m.
Can a triangle have side lengths 6 8 and 9?
Yes, a triangle can have side lengths of 6, 8, and 9. To determine if these lengths can form a triangle, we can apply the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 6 + 8 > 9, 6 + 9 > 8, and 8 + 9 > 6 all hold true, confirming that a triangle can indeed be formed with these side lengths.
Can a triangle be formed with any three side lengths?
No. The sum of any two lengths must be greater than the third length.
