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What set of numbers represents the lengths of the sides of a right triangle?
They are Pythagorean triples
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 numbers represent the sides of a right angle triangle?
They are Pythagorean triples
How could you determine if a set of three numbers defines a right triangle?
If they are a Pythagorean triple then they will form a right angle triangle
What shape has 2 opposite sides parallel?
Any shape that is not a triangle may have 2 parallel sides, although regular polygons only have parallel sides when the number of sides is even. For a quadrilateral, a trapezoid(UK trapezium) has 1 set of parallel sides and a parallelogram (either a rhombus, rectangle, or square) has 2 sets of parallel sides.
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.
What is a set of lengths that could be to create a triangle?
To form a triangle, the lengths of the sides 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 third side. For example, a set of lengths such as 3, 4, and 5 can create a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Other examples include lengths like 5, 6, and 10, which also satisfy the triangle inequality.
What set of numbers represents the lengths of the sides of a right triangle?
They are Pythagorean triples
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.
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 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 numbers can not represent the lengths of the sides of a triangle?
There are lots of sets of numbers that fit that definition! But the important thing to remember about triangles is the Third Side Rule, or the Triangle Inequality, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides. So you can have a triangle with sides of 3, 4 and 5 because 3 < 4 + 5, 4 < 3 + 5 and 5 < 3 + 4; and because 3 > 5 - 4, 4 > 5 - 3 and 5 > 4 - 3. But you can't have a triangle with sides 1, 2 and 8, for example. Just imagine three pieces of wood or three straws with lengths 1, 2 and 8. Put the longest piece, 8, horizontally on the table. Then put the other two, one at each end of the longest piece. Could those two shorter sides ever meet to form a triangle? No, never!-----------------------------------------------------------------------------------------------------------The length is always positive, so that all real positive numbers can represent the length of sides of a triangle: {x| x > 0}.------------------------------------------------------------------------------------------------------------Whoever added that to my answer, sorry, I beg to differ! The question asked what SET of numbers cannot represent the lengths of the sides of a triangle. There are infinite possibilities for that. While the lengths are always a set of real positive numbers, not every possible set of real positive numbers is a potential set of numbers that represent the lengths of the sides of a triangle!
What three set of numbers could make a triangle?
To form a triangle, the lengths of its sides 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 third side. For example, the sets of numbers (3, 4, 5), (5, 7, 10), and (6, 8, 10) can all form triangles. In each case, the sum of the lengths of any two sides is greater than the length of the third side.
What set of lengths can be used to make a triangle?
There are many lengths that can be used to make triangles. Basically take the longest side, add the two shorter sides together, it can be a triangle as long as the 2 shorter sides added together are longer than the longest side.
Would the following set of sides build a triangle 4 4 5?
Yes. If the sum of the length of the two smaller sides are greater than the length of the larger side and none of the lengths of any of the sides equals 0, then it is a triangle. It is not, however, an equilateral triangle or right triangle (that would be 5, 4, 3), though it is an isosceles triangle.
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 measures could represent the lengths of the sides of a right angle?
3,4,5 and 5,12,13 are two possibilities.
