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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.
