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What type of triangle has side lengths of 23 24and 24?
An isoceles triangle! It has two lengths the same!
Can you have a triangle with the sides 4 13 and 14?
To check whether it is possible to have a triangle with side lengths 4cm, 13cm, and 14cm, we use a special rule.The rule is: If you take any two sides of a triangle and add their lengths, the sum of the lengths must be greater than the third side.Test this triangle. 4+13=17, which is bigger than 14. 14+4=18, which is bigger than 13. 13+14=27, which is greater than 4.The rule works for all side combinations, so it is possible to have a triangle like this.So the answer is: yes, you can have a triangle of side lengths 4cm, 13cm, 14cm. (Note that the lengths do not have to be in centimeters, for example they can be 4m, 13m, and 14m)
Can a triangle have side lengths 38 inches 73 inches and 29 inches?
No, because you should be able to add up any two side lengths and their sum should be greater than the third side length. 38 + 29 is not greater than 73.
Why can you make a triangle and how many triangles can you make with the given side legnths 3 4 and 5?
Because the sum of the smaller sides is greater than the largest side and it is possible to construct one right angle triangle with the given lengths
Is it possible to form a triangle from the lengths 2cm 2cm 5cm?
No. It is not possible, because a triangle cannot have a side longer than the sum of two other sides. 5 is greater than 2+2. Therefore the triangle cannot exist.
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 is the sum of the lengths of any two sides of a triangle is greater than the length of the third side?
The statement that the sum of the lengths of any two sides of a triangle is greater than the length of the third side is known as the Triangle Inequality Theorem. This theorem is fundamental in geometry and ensures that a set of three lengths can form a triangle. If this condition is violated, the three lengths cannot connect to form a triangle. Essentially, it guarantees the triangle's stability and shape.
Can the sum of two sides of a triangle be equal to the third side?
no it can not be eaual but it can be greater than The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Is it possible to build a triangle with side lengths of 3 3 and 9.?
No, it is not possible to build a triangle with side lengths of 3, 3, and 9. According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 3 + 3 is not greater than 9, so these side lengths cannot form a triangle.
How does doubling the side lengths of a triangle affect a perimeter?
Doubling the side lengths of a triangle results in a perimeter that is also doubled. The perimeter of a triangle is the sum of its three side lengths, so if each side length is multiplied by two, the total perimeter will similarly be multiplied by two. For example, if a triangle has side lengths of 3, 4, and 5, its original perimeter is 12, and if the side lengths are doubled to 6, 8, and 10, the new perimeter will be 24.
Why do some lengths not form a triangle?
Some lengths do not form a triangle due to 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. If this condition is not met for any combination of the sides, the lengths cannot create a closed figure, resulting in no triangle. For example, if one side is longer than the sum of the other two, the sides will not connect to form a triangle.
What triangle measures 2m 4m and 7m?
The triangle with side lengths of 2m, 4m, and 7m does not form a valid triangle. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 2m + 4m is less than 7m, violating the theorem. Therefore, a triangle with these side lengths cannot exist in Euclidean geometry.
The sum of the lengths of any two sides of a triangle is always?
Greater than the third side
Can a triangle be formed with any three side lengths?
No. The sum of any two lengths must be greater than the third length.
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.
Is this statement true or falseIf the length of the longest side of a triangle is equal to the sum of the lengths of the other two sides, then the triangle is a right triangle?
false
When do three side lengths measures form a triangle?
Three side lengths can form a triangle if they 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 third side. This must hold true for all three combinations of the side lengths. For example, if the side lengths are (a), (b), and (c), then (a + b > c), (a + c > b), and (b + c > a) must all be true. If any of these conditions are not met, the side lengths cannot form a triangle.
