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Which set of numbers can not represent the lengths of the sides of a triangle?
Wiki User
∙ 14y ago
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!
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The length is always positive, so that all real positive numbers can represent the length of sides of a triangle: {x| x > 0}.
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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!
Wiki User
∙ 14y ago
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Measurements of the sides of a right triangle?
In a right triangle, the side lengths follow Pythagora's Theorem: a^2 + b^2 = c^2; where a and b represent the lengths of the legs and c represents the hypotenuse.
How do you work out the perimeter for a triangle?
-- Make sure you have the lengths of all three sides -- Add up the lengths of all three sides to get the perimeter of the triangle.
What is the name of the triangle that all the sides are different lengths?
Scalene Triangle
How many sides to a scalene triangle?
3 sides of different lengths
What is the correct definition for scalene triangle?
A triangle in which no sides are the same lengthA scalene triangle is a triangle in whichall three sides have different lengths.
What set of numbers represents the lengths of the sides of a right triangle?
They are Pythagorean triples
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?
7cm
How do you determine if its a triangle by the lengths of the sides?
-- Each number has to be (more than the difference of the other two) but (less than their sum). -- Count the lengths of the sides. If you get to three and then run out of numbers, it's a triangle.
Which three measurements could be the length of the sides of a triangle?
The list that accompanies the question doesn't contain any numbers that could be the lengths of the sides of a triangle.
What is the difference between a scalene an isosceles and an equilateral triangle?
A scalene triangle has 3 sides of different lengths An isosceles triangle has 2 sides of equal lengths An equilateral triangle has 3 sides of equal lengths
Can 9 4 and 11 be triangle?
9, 4, and 11 are three dimensionless numbers. Yes, they can represent the lengths of the sides of a triangle. You can take three straight sticks, cut them to lengths of 9, 4, and 11 inches, then lay them down on a table so that the ends hook up and they form a triangle.
What are the lengths of the sides of an obtuse triangle?
The 3 sides have different lengths
Lengths of a scalene triangle sides?
All three sides have different lengths.
What are the kinds of triangle according to measure of sides?
An isosceles triangle has 3 sides 2 of which are equal in lengths An equilateral triangle has 3 sides all of which are equal in lengths
Which set of numbers represent the sides of a right angle triangle?
They are Pythagorean triples
Could the side lengths 9 15 and 10 represent a right triangle?
No. In order to be the sides of a right triangle, the square of one of the numbers must be the sum of the squares of the other two numbers. (the square of 9) + (the square of 10) = 181 but (the square of 15) = 225 .
How is a square and equilateral triangle the same?
A square's sides have equal lengths, and an equilateral triangle's sides also have equal lengths.
