The following list contains the results Yvonne got when she rolled three number cubes simultaneously and recorded the numbers appearing on the three faces.
a. (1,3,3)
b. (5,3,4)
c. (4,6,2)
d. (4,3,2)
If each set of three numbers was used as the lengths of the sides, could Yvonne always make a triangle? Explain how you know. Be sure to use mathematical language in your explanation.
78 comments:
Yes any three numbers can make a triangle because the sides don't have to be equal to make a triangle there just has to be three sides.
yes.
(because she rolled three numbers at a time and a triangle has three sides.)
yes, because there are 3 sides of a triange and if there is 3 numbers you can make three sides and when toy put the sides together it should make a triangle
no because the side have to connect at the points and I don't think that one of the recored sets can. but you wound have you visulize to see (for me anyways)
Yes you could because with almost all of them you could make a scalene triangle. The top one you could make an issolise triangle. With the others you can make a scalene triangle.
Yes she could make a trangle each time but they would be disformed exsept for a. because it would make a issosolies triangle.
No You couldnt allways make a triangle. if thr numbers were way off then they wouldnt alleas match
No, because if i had 2 small numbers and 1 large or 2 large numbers and 1 small the wouldn't fit together because they would be either two short or too long.
no because 4,6,2 doesnt make a triangle
No because a number can be very low such as the number 1 and the other two cubes could have rolled a high number such as 6 and you can not connect those following number s to create a triangle.but no you can not always make a triangle.
the triangle would be scaleane because the triangle has two of the same sideds
The last triangles do not work. Because some of the lengths didn't come out right because letter D it wouldn't be a closed figure anyway.
no, you can't always make a triangle. like a, it can't because it has 2 side the same and the other has a number less than the two number that are the same.
yes because you
have sidelengths that make different triangles if you gave us a certain type of triangle then the answeres are different
no because c.(4,6,2) does not makes a triangle and because on a.,b.,and d. all have the numbers close to each other like b. is (5,3,4) and that is 5,4,3 and those numbers are right next to each other and then c.(4,6,2) are not next to each other there is a 6 and a 4 and a 2 and those are not next to each other so i chose no for my answer because c.(4,6,2) does not make a triangle,
i have no idea about this problem i dont get what they want you to do or how your supposed to do it.
HELP ME !!
A. because 2 on the sides would need to be the same for them to meet so a. is the right answer.
Sometimes she wouldn't because some of the side would not connect/
b 5,3,4
I dont really understand how im supposed to figure out how to make triangles into those numbers.. I kind of forgot how to do that.
No, It depends on what the number is. If the numbers don't fit together then you won't make a triangle.
Yes because a qould make an Iscoseles triangle because two sides are the same.B would work also because it would make an dIscolseles triangle, all sides different, and the three tying in 5 and 4 together. c. would not work because the numbers would not make a triagnle because the 6th roll would be too long. D. would work because 2 would tie in 4 and three by making and Scalene Triangle.
A, because the bottom will be 1 and sides will be each 3. it will make a issosalies triangles. :)
no because there has to be a number the same such as 5,5,3 it has to have 2 digitas the same for it to be a triangle
Yes Yvonne could always make a triangle because all triangles have three sides all you do is change the side lengths.
Yes you would be able to because you just have to make the vertices and lines straight and not crocked.You would also need enough toothpicks so that all three sides touch without any irregular lines in the three lined shape.
Yes becuase there are only three numbers and a triangle has three sides and it doesn't matter what the sides are.
No becasue you could have 1 length and another 1 lenght and then a 6 length and the 1 and 1 cannot possibly connect to the ends of the 6 triangle, so therefore some of the 6 triangle will be sticking out.
Well their is what they add up to is 12 for all of them from adding and times it as well.
I would have to say that they would all be a triangle because there has to be at least two or more sides with the same length or close. i would use a. (1,3,3) because the two side lengths would be 3 and the base would be 1.
I think the only one that can make a triangle is a because the 2 sides are 3 and then the bottem is one.
No because the two legs don't equal the length of the hypontanuse on (5,3,4) and (4,3,2). The hypontanuse is always goin to be longer than the leg lengths.
c
yes she could make a triangle with every optional side lenths.
no, you can't have one big and two small numbers.
a.is an isosceles triangle
b.is a scalen triangle
c.no sides are the same length
d.no sides are the same length
Yes,because you can make a lot of different triangles like acute,right,obtuse,scalene,
isosceles,and Equalateral triangles. You could have all three sides the same, two sides the same and one different, or all sides could be different in length.
a.no
b.no
c.yes
d.no
I think that it will always work because there different sorts of triangles.
a. (1,3,3)-yes
b. (5,3,4)-yes
c. (4,6,2)-yes
d. (4,3,2)-yes
a no. b.no d.no/ c.yes could because if the sum of the two smallest numbers is greater than the largest number,it can't be a triangle.
Ex. 4,6,2
2+4=6 so that would be a triangle
no,yes, yes
a.yes
b.no
c.no
d.no
because to make a triangle you must have two sides that are the same lenght or it will not close or become a figure.
all but b is yes, because 1,3,3 can't be connected
A. yes
B. yes
C. yes
D. yes
Yes, she could have a triangle each time becuse each of the side lenths would make a different triangle
you need atleast 2 to 3 equal sides in a triangle.
A. yes
B. yes
C. yes
I put yes for all of them because there are three numbers and in a triangle there are three sides so if u measured the numbers in inches and put it in a triangle form for each one it would make a triangle.
I think answer will a 1,3,3.If will triangle, triangle will not have a 4 sides
A) yes because 1 could be the bottom side and the 3's could be the sides.
B)no because you can't have a triangle with side lengths only one number apart.
C)no because you can't have a triangle with two sides that add up to the third side.
D)no because you can't havea triangle with sides only one number away from each other.
A yes because he could make an isoceles triangle
B yes because it would make a scalenine triangle
C yes because it would make a scaline triangle
D. yes because it would make a scaline triangle.
a. yes
b. yes
c. no
d. yes
a,b,and d all make a triangle because they all can. and letter c is the odd ball if you tried to make a triangle it would mostly be a strait line.
a.yes All triangles have to have three sides and it doesn't matter if they are the same.
b.yes All triangles have to have three sides and it doesn't matter if they are the same.
c.yes All triangles have to have three sides and it doesn't matter if they are the same.
d.yes All triangles have to have three sides and it doesn't matter if they are the same.
a. (1,3,3)
yes
sides are even and able to touch
b. (5,3,4)
no
sides woudlnt be able to touch
c. (4,6,2)
no
sides woudlnt be able to touch
d. (4,3,2)
no
sides wouldnt be able to touch
A.yes because i drew it out on a sheet of paper and it equaled an isosceles triangle.
B.no because i tried to draw it out on a piece of paper and it didnt work.
C.yes because i drew it out on a piece of paper and it made a scalene triangle.
D.yes because i drew it out on a piece of paper and it made a scalene triangle.
Yes, allthe time well with those #s yes
a.isoseles
b.scalene
c.scalene
d.scalene
a.Yes,it woul make a triange because the 2 equal sides are more than the unequal side, so it would be an isocelece
b.No, the lines will never meet
c. No the lines will never meet
d. Yes all the lines will meet, it will be a scalene
NO, because what i did was i added all of B's # and then divided it by 4. They could all be divided and come out equally. But when i add 1,3,3 i got an odd number. So it didn't divided and come out equally, so no she could have made a triangle out of all of them.
NO, I picked letter "A" because when i added the numbers and then tried to divide it by 3, it did not come out evenly. And all the other letter's number did, but not letter "a".
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