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ineedyouubiebs
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What's a formula to uncover a way to divide a line segment into three equal parts. What would the formula look like?
 10 months ago
 10 months ago
ineedyouubiebs Group Title
What's a formula to uncover a way to divide a line segment into three equal parts. What would the formula look like?
 10 months ago
 10 months ago

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ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
@some_someone ?
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
@satellite73 ?
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
@Luigi0210 lol sorry to bother you! /.\
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
Any clues at all?
 10 months ago

Luigi0210 Group TitleBest ResponseYou've already chosen the best response.0
Nope, sorry :/
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
oh its fine I can try asking someone else:)
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
@dan815
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
do you mean find the length of each piece? or actually trisect the segment through a geometric construction?
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
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?
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
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
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
so say you had this segment dw:1378786046754:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
draw in the horizontal and vertical components dw:1378786083004:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
then cut those lengths into 3 congruent pieces dw:1378786121773:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
then use these cuts to figure out where the 1/3 and 2/3 markers go on the original line segment dw:1378786176000:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
dw:1378786217033:dw
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
yeah, i get what your saying, but there isn't any specific formula where you have to plug in the numbers?
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
well this distance here dw:1378786360035:dw is the difference in the x coordinates
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
this distance is the difference in the y coordinates dw:1378786383951:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
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
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
but the question is asking me for a formula?
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
I know, I'm trying to get you to think of what that formula would be based on what I'm giving you
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
Ahhh okay
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
how about a+b+c=? divide by 3
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
not quite
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
remember you're taking the differences in the corresponding coordinates, then dividing by 3
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
oh so then instead of adding them, im subtracting them?
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
let m = x2  x1 this is the horizontal component length and let n = y2  y1 this is the vertical component length
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
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
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
yeah, this looks really complicated lol:p
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
it's not too bad once you get used to it
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
thanks for helping me tough. i hope the teacher goes over this tommorow because right now i just want to know out!
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
do you see how I defined m and n?
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
Yeah, yes I did:)
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
so if you cut m into 3 then you basically get this distance here dw:1378787464289:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
and if you divide n by 3, you get this length here dw:1378787503944:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
with me so far?
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
yes, with you so far:)
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
so that's why if you start with (x1,y1) dw:1378787643610:dw
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
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
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
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)
 10 months ago

ineedyouubiebs Group TitleBest ResponseYou've already chosen the best response.0
thank you so much i appreciate it:)
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
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)
 10 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
dw:1378813283291:dw
 10 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
dw:1378813443142:dw
 10 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
jims way is the nicest way though
 10 months ago
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