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Which set of 3 numbers could be the side lengths of a triangle apex?
To determine if three numbers can be the side lengths of a triangle, they must 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, the set of numbers 3, 4, and 5 satisfies this criterion, as 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Thus, 3, 4, and 5 could be the side lengths of a triangle.
What set of numbers could represent the lengths of a side of a triangle?
To represent the lengths of the sides of a triangle, the numbers must satisfy the triangle inequality theorem. This means that the sum of the lengths of any two sides must be greater than the length of the third side. For example, the set of numbers 3, 4, and 5 can represent the sides of a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
Can the set of lengths be the side lengths of a right triangle 7ft 12ft 17ft?
No because the given sides do not comply with Pythagoras' theorem for a right angle 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.
Which set of values could be the side lengths of 30-60-90 triangle?
In a 30-60-90 triangle, the lengths of the sides follow a specific ratio: the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the shorter side. For example, if the hypotenuse is 2, the side lengths could be 1 (opposite the 30-degree angle) and ( \sqrt{3} ) (opposite the 60-degree angle). Therefore, a valid set of side lengths could be 1, ( \sqrt{3} ), and 2.
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.
Which set of 3 numbers could be the side lengths of a triangle apex?
To determine if three numbers can be the side lengths of a triangle, they must 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, the set of numbers 3, 4, and 5 satisfies this criterion, as 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Thus, 3, 4, and 5 could be the side lengths of a triangle.
Which set of side lengths cannot form a triangle?
1.5m
What set of numbers could represent the lengths of a side of a triangle?
To represent the lengths of the sides of a triangle, the numbers must satisfy the triangle inequality theorem. This means that the sum of the lengths of any two sides must be greater than the length of the third side. For example, the set of numbers 3, 4, and 5 can represent the sides of a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
Can the set of lengths be the side lengths of a right triangle 7ft 12ft 17ft?
No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
What set of numbers represents the lengths of the sides of a right triangle?
They are Pythagorean triples
Which set of numbers represent the side lengths of an obtuse triangle?
Those ones, there!
How many examples are in a triangle shapes set?
Infinitely many. The smallest side of a triangle can have infinitely many possible lengths.
Which set of values could be the side lengths of a 30-60-90 triangle?
3, 4 and 5 units of length
Which set of side lengths can form a triangle?
11, 4, 8
Which set of values could be the side lengths of 30-60-90 triangle?
In a 30-60-90 triangle, the lengths of the sides follow a specific ratio: the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the shorter side. For example, if the hypotenuse is 2, the side lengths could be 1 (opposite the 30-degree angle) and ( \sqrt{3} ) (opposite the 60-degree angle). Therefore, a valid set of side lengths could be 1, ( \sqrt{3} ), and 2.
How do you know if you can make more that one triangle?
To determine if you can make more than one triangle with a given set of side lengths, you can use 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. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.
