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3 numbers can't be the lengths of the sides of a triangle if . . .
-- any one of them is less than the difference of the other two
-- any one of them is more than the sum of the other two
(The above two statements are equivalent. Also, in both cases, a triangle is not formed if the any one of them is EQUAL to the difference or sum of the other two.)
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Can segments 3m5m9m form a triangle?
no, 3 + 5 = 8 3rd sign must be less than 8m to form a triangle
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 numbers can represent the side lengths of a right triangle?
Any three numbers, a, b, and c, which satisfy the equation a2 + b2 = c2 will form the sides of a right triangle. Some common values are 3, 4, 5 (and all multiples), 5, 12, 13 (and all multiples), and 7, 24, 25 (and all multiples).
Does an obtuse triangle always have 3 congruent sides?
An obtuse triangle does not always have three congruent sides. An obtuse triangle can be any form that always has three angles.
What are the first 20 triangle numbers?
Calculate n*(n+1)/2 for n=1, 2, 3, ... , 20.
What are the first 5 triangular numbers?
Triangle numbers or triangular numbers are those numbers that can form an equilateral triangle when counting the objects. The first five triangular numbers are: 1, 3, 6, 10, 15.
Do numbers 3 7 9 form aright triangle?
No because they don't comply with Pythagoras' theorem for a right angle triangle
How do you calculate numbers of edges on triangle?
There are always 3 edges on a triangle, otherwise it would not be a triangle.
What are the Triangle numbers up to 21?
3
Do the numbers 2 5 and 7 form a right triangle?
no
What is the triangle number out of all the prime numbers?
3
What is pythagorean triple?
They are 3 numbers that comply with Pythagoras' theorem of a right angle triangle such as 3, 4 and 5.They are 3 numbers that comply with Pythagoras' theorem for a right angle triangle such as 3, 4 and 5
What does triangle numbers mean?
1 = 1 3 = 1 + 2 6 = 1 + 2 + 3 10 = 1 + 2 + 3 + 4 15 = 1 + 2 + 3 + 4 + 5 this is how we work out triangular numbers. It is the number of dots that when drawn form a triangle The formula for the nth triangular number is n(n+1)/2
Is a triangle a unilateral?
Only when it is in the form of an equilateral triangle which has 3 equal sides
Which numbers can make up a perimeter 10 for a triangle?
You can choose any three numbers that total 10, but the sum of any two of those numbers must be greater than the third number. For example, Isosceles triangles : 3,3,4 : 4,4,2 Equilateral triangle : 3⅓,3⅓, 3⅓ Scalene triangle : 2, 3½, 4½
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 numbers make a right triangle?
3 4 5
