Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

What's a formula to uncover a way to divide a line segment into three equal parts. What would the formula look like?

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SIGN UP FOR FREE
@Luigi0210 lol sorry to bother you! /.\

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Any clues at all?
Nope, sorry :/
oh its fine I can try asking someone else:)
do you mean find the length of each piece? or actually trisect the segment through a geometric construction?
I think to find the length of each piece. The exact questions says: Now that you know how to find the midpoint from two endpoints, tweak your understanding of the formula to uncover a way to divide a line segment in to three equal parts. What would the formula look like?
One way to do it is to divide the horizontal component of the length by 3 this will give you how far to space the points out in a horizontal sense you must do the same for the vertical component as well
so say you had this segment |dw:1378786046754:dw|
draw in the horizontal and vertical components |dw:1378786083004:dw|
then cut those lengths into 3 congruent pieces |dw:1378786121773:dw|
then use these cuts to figure out where the 1/3 and 2/3 markers go on the original line segment |dw:1378786176000:dw|
|dw:1378786217033:dw|
yeah, i get what your saying, but there isn't any specific formula where you have to plug in the numbers?
well this distance here |dw:1378786360035:dw| is the difference in the x coordinates
this distance is the difference in the y coordinates |dw:1378786383951:dw|
so you're subtracting the coordinates, then dividing by 3 to get those markers on the horizontal/vertical components and you're using those markers to get the 1/3 and 2/3 markers
but the question is asking me for a formula?
I know, I'm trying to get you to think of what that formula would be based on what I'm giving you
Ahhh okay
how about a+b+c=? divide by 3
not quite
remember you're taking the differences in the corresponding coordinates, then dividing by 3
oh so then instead of adding them, im subtracting them?
let m = |x2 - x1| this is the horizontal component length and let n = |y2 - y1| this is the vertical component length
cut these distances into 3rds: m ---> m/3 n ---> n/3 so if you have the segment with the endpoints (x1,y1) and (x2,y2), then you're adding on m/3 to the coordinates to get these points 1/3 marker: (x1 + 1*m/3, y1 + 1*n/3) 2/3 marker: (x1 + 2*m/3, y1 + 2*n/3) you could avoid using m and n and just use the distances above, but that notation gets even uglier
yeah, this looks really complicated lol:p
it's not too bad once you get used to it
thanks for helping me tough. i hope the teacher goes over this tommorow because right now i just want to know out!
do you see how I defined m and n?
Yeah, yes I did:)
so if you cut m into 3 then you basically get this distance here |dw:1378787464289:dw|
and if you divide n by 3, you get this length here |dw:1378787503944:dw|
with me so far?
yes, with you so far:)
so that's why if you start with (x1,y1) |dw:1378787643610:dw|
and you move m/3 units along the x axis and n/3 units along the y axis, then you'll land at the 1/3 marker |dw:1378787687368:dw|
that explains why the coordinate of the 1/3 marker is (x1 + m/3, y1 + n/3) and you can write it as (x1 + 1*m/3, y1 + 1*n/3)
thank you so much i appreciate it:)
you're welcome, the 2/3 mark is found in much the same way, you add on another m/3 to the x coordinate and another n/3 to the y coordinate to get 2/3 marker: (x1 + m/3+m/3, y1 + n/3+n/3) which turns into 2/3 marker: (x1 + 2*m/3, y1 + 2*n/3)
|dw:1378813283291:dw|
|dw:1378813443142:dw|
jims way is the nicest way though

Not the answer you are looking for?

Search for more explanations.

Ask your own question