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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 any three side lengths?
No. The sum of any two lengths must be greater than the third length.
How many triangles exist from the given lengths 4m 4m and 7m?
With side lengths of 4m, 4m, and 7m, only one triangle can be formed. This is an isosceles triangle, where two sides are equal (4m each) and the third side is different (7m). The triangle inequality theorem confirms that the sum of the lengths of any two sides must be greater than the length of the third side, which holds true in this case. Therefore, exactly one triangle exists with these lengths.
The lengths of 2 sides of an isosceles triangle are 7 and 5 what are all the possible lengths of the third side?
An isosceles triangle must have two sides of equal size.Since you have a side of 7 and 5, for it to be isosceles, your third side must be either 7 or 5.
What are all the possible lengths for the sides of a triangle if the triangle's perimeter is 17 and the lengths of the sides are integers?
The sum of the lengths of two sides of a triangle must be greater than the length of the third so the following eight triangles will do: (1,8,8), (2,7,8), (3,6,8), (3,7,7), (4,5,8), (4,6,7), (5,5,7) and (5,6,6).
What set of lengths could not be the lengths of the sides of a triangle?
If any of its 2 sides is not greater than its third in length then a triangle can't be formed.
What is the length of the third side of an equilateral triangle have?
The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.
Given two sides with lengths 34 and 14, which of the following lengths would NOT work for the third side of a triangle?
18
A triangle has a perimeter of 42in the lengths of two sides of the triangle are 13in and 16in find the length of the third side?
13 in
Can a triangle be formed with any three side lengths?
No. The sum of any two lengths must be greater than the third length.
what- A triangle has side lengths 0.87 m and 0.23 m.What is the range of possible side lengths for the third side, x?
0.64
Given two sides with lengths 34 and 14 which of the following lengths would NOT work for the third side of a triangle?
There are not any following lengths in the question to compare. Using the sizes given, and Pythagorean Theorem, the Hypotenuse of the triangle is 36.76 - which will have to do!
A triangle has two sides that have lengths of 8 cm and 14 cm what lengths could not represent the length of the third side?
7
What does the triangle inequality state?
It says the sum of the lengths of any 2 sides of a triangle must be greater than the third side. Not equal to but GREATER than the third side.
What is the third side of a triangle with 15 and 12.5?
Assuming that 15 and 12.5 units are measures of the lengths of two sides of the triangle, the third is any value in (2.5, 27.5) units
The sum of the lengths of any two sides of a triangle is always?
Greater than the third side
The lengths of 2 sides of an isosceles triangle are 7 and 5 what are all the possible lengths of the third side?
An isosceles triangle must have two sides of equal size.Since you have a side of 7 and 5, for it to be isosceles, your third side must be either 7 or 5.
