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1&12, 2&6, 3&4!

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Q: The area of a triangle is 6 square units Both the height and the length of the base are whole numbers What are the possible lengths and heights?
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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!


Can these lengths make a triangle 5.0 4.8 9.1?

Check whether the largest of the numbers is greater than or equal to the sum of the other two. If it is, then you can't make a triangle; otherwise you can.


When do 3 numbers not form a triangle?

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.)


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).


Which set of three numbers could be the side lengths of a triangle A. 3 5 9 B.3 5 7 C.2 4 6 D.2 4 8?

It is B

Related questions

What is the area of a figure with lengths of 2 7 and 10?

It is not possible to answer the question without information about the shape. The fact that there are three numbers given might suggest that it is a triangle. However the three lengths are not consistent with a triangle.


Which set of numbers represent the side lengths of an obtuse triangle?

Those ones, there!


What set of numbers represents the lengths of the sides of a right triangle?

They are Pythagorean triples


How man square feet is a 2x8x16?

It is not possible to answer the question. The fact that there are three numbers given suggests it is a 3-dimensional object and it is not possible, with just the side lengths to determine its area. It cannot be a triangle.


How do you find a right triangle when you have three numbers?

Three numbers may or may not define a right triangle. Also, the answer will depend on whether the three numbers are the lengths of sides or the measures of angles.


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 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!


All three sides of a triangle have lengths which are whole numbers Two of the sides measure 4 and 9 List all possible lengths of the third side?

One to 12 inclusive... WRONG but idk wat the real answer is so sorry but that is not specific enuff


Can a triangle have a negative side?

The sides of a triangle are its lengths are cannot be negative. However, you could place a triangle on coordinate system and some points where the vertices are could be negative numbers.


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.


Can the numbers 24 32 40 be the lengths of the three sides of a right triangle?

Yes because they comply with Pythagoras' theorem for a right angle triangle


The area of a triangle is 6square units both the height and the length of the base are whole numbers what are the possible lengths and heights?

1/2*length*height = 6 length*height = 12 The factors of 12 are 1, 2, 3, 4, 6 and 12 So the length and height would be any of the above two factors that when multiplied equals 12.