Lordx Here is an example someone else asked about that is similar. I hope this helps... Ex. A(-1,2) B(7,8) with ratio of 1:3 Solution: Find the horizontal distance and divide by the "total" (here 7-(-1)=8 and 1+3=4... 8/4=2). Add this to your leftmost point horizontally... that would put your x' coordinate. Now the same thing with the vertical (8-2=6... 6/4= 1.5) add this to your lowest coordinate and this will give you your y' coordinate. Im getting (1, 3.5) as a solution. I hope this helped.
If I understand your question, I multiply the ratio by 2, then by 3, then by 4, and so on, until I get a total (from adding the two parts of the ratio) that matches a side length. For ex, if we had a ratio of 1/3, that is a total of 4 (1 unit on one ‘side’, 3 units on the ‘other’). If we double that ratio, it becomes 2/6 and the total also doubles. If we triple it (3/9) the total triples as well to 12. Regardless of the ratio that they give you, if your side lengths happen to be a multiple of the total of your ratio, then we can divide that side into parts that still match the ratio. If that wasn’t what you were asking, let me know at what point (min & seconds) that gets confusing, and I can try to help out again.
Hi! i love this method and video, however when i tried to apply it to my problem, it didnt work... Could you help me out? my question is, find the the coordinates of the ratio 3/5 of A to B. point A is = (3,-4) B= (13,11) I couldnt find a ratio that would match the side length of my right triangle. WHich was 17.
Check out my reply to CHB’s comment, they had a similar problem. But the basic idea is to use a least common multiple of the side lengths to make your ratio
Just to be clear, order of points matters, so assuming A(2,9) and B(-4,-7), (your exact ordering in your question) find P such that 5:3 ratio. Start as usual, plot points, make triangle. The good news is that one of your sides does fit the ratio trick (length of 16, ratio is 5:3 Total of 8, 10:6 Total of 16. Count DOWN 10 units, landing you at (2,-1) ) , but its that other side of length 6 thats the problem... so here your going to have to divide the side by the total... 6/8. That will reduce (to make your work easier) to 3/4. That means your going to have to create new units within the existing side. Start from the right angle of your triangle and mark every 3/4 of the unit blocks towards the LEFT (your other point). If you do it right, starting from that bottom corner (2,-7) marks at (1.25, -7), (0.5, -7), (-0.25,-7), (-1,-7), (-1.75, -7), (-2.5,-7), (-3.25,-7), and end on your point A(-4,-7). You now have 8 new units you can count that both aligns with the original xy-plane, and fits your ratio trick of 5:3 T=8. Count 5 of those new units LEFT towards B, which will place you at (-1.75, -7). Now you can trace left from (2,-1) and trace up from (-1.75,-7) to point P which is located at (-1.75, -1) *Note, if your points were switched and/or you need 3:5 you would do all same except reverse in direction-counting and you would land on P(0.5, 3) This trick works for specific situations, which is why its a trick, but can be finagled a little (as we did in the explanation above) to make it work. Hope that helps, and good luck.
Its the sum of the ratio. 3:4 ratio gives a total of 7. Then, any multiple of 7 can be broken up into groups of multiples-of-3’s and multiples-of-4’s. A different example would be 1:4 ratio has a total of 5
Thom marchetti the question is given AC with A(3,4) and C(-9,-2)if B partitions AC such that the ratio of AB to BC is 1:5 find the coordinates of B. I tried using your method it worked for another question just not this one. Can you help?
So this works the same way as the example, but be careful, as you will want to head towards pt C (meaning start from A and count towards C). If you find your distances horizontally and vertically, you should be getting numbers divisible by your sum of ratio parts (here six). Your horizontal distance will be 12, and you should be able to make that into 2:10 ratio, so count towards C 2 units. Your vertical distance is 6, so keep the ratio of 1:5, count 1 unit towards C. I am getting point B located at (1,3). I hope that helps
Sorry it didnt work out for you. It works a lot of the time, but it’s not perfect. There are situations where it needs a few extra steps. But, without seeing the problem, or the work, its tough to say what went wrong and how to fix it.
@@elsofcsgo7359 Check through these comments. Someone had a similar question that I tried to work out. But basically, work with a least common multiple so you will end up with pieces that fit your ratio
Can you be my new geometry teacher my teacher literally doesn’t teach us anything and then gives us 4 sheets of homework
Check out the rest of my website anytime you need to. Www.marchettimath.weebly.com
SAME!
facts
You have saved many a 9th grader
me doing this in 7th grade bc i’m in discovery 👁👄👁
My teacher taught some bs using a formula that took 10 minues a problem. Your method takes me only 3 minutes. THOM u r the goat!
I did not understand this before this video. I was very angry and disappointed in myself, so thank you!
Thank you so much this video really helped me understand the topic.
can u help me
Yo the world needs more teachers like this
ponting stick was adorable LOL
Thank you so much!! This was very helpful!!
Greatest legal mind I ever knew
This really helped! Thank you!
can u help me?
omg thank you so much im stuck on quarentine and my teachers online stuff is so confusing
wow, you saved my life! Thanks!
Thank you, I have exam tomorrow. Pray for myself
Thank you so much for this tutorial.
I was 100th sub!
thank you so much i love you i needed help so bad and this is the only good video
can u help me
But what if the 1st part of the ratio has a bigger number than the length of line
Lordx
Here is an example someone else asked about that is similar. I hope this helps...
Ex. A(-1,2) B(7,8) with ratio of 1:3
Solution: Find the horizontal distance and divide by the "total" (here 7-(-1)=8 and 1+3=4... 8/4=2). Add this to your leftmost point horizontally... that would put your x' coordinate. Now the same thing with the vertical (8-2=6... 6/4= 1.5) add this to your lowest coordinate and this will give you your y' coordinate. Im getting (1, 3.5) as a solution. I hope this helped.
Where and why did you multiply the next number by three?
If I understand your question, I multiply the ratio by 2, then by 3, then by 4, and so on, until I get a total (from adding the two parts of the ratio) that matches a side length.
For ex, if we had a ratio of 1/3, that is a total of 4 (1 unit on one ‘side’, 3 units on the ‘other’). If we double that ratio, it becomes 2/6 and the total also doubles. If we triple it (3/9) the total triples as well to 12.
Regardless of the ratio that they give you, if your side lengths happen to be a multiple of the total of your ratio, then we can divide that side into parts that still match the ratio.
If that wasn’t what you were asking, let me know at what point (min & seconds) that gets confusing, and I can try to help out again.
thanks man helped alot
see, i like this method better than what my teacher "taught" us but for example, what if point P ISN'T on an exact point?
Check out my reply to CHB's comment. They asked a similar question.
Hi! i love this method and video, however when i tried to apply it to my problem, it didnt work... Could you help me out? my question is, find the the coordinates of the ratio 3/5 of A to B. point A is = (3,-4) B= (13,11) I couldnt find a ratio that would match the side length of my right triangle. WHich was 17.
Check out my reply to CHB’s comment, they had a similar problem. But the basic idea is to use a least common multiple of the side lengths to make your ratio
I still need help my ratio is 5:3 with points 2,9 and -4,-7?
Just to be clear, order of points matters, so assuming A(2,9) and B(-4,-7), (your exact ordering in your question) find P such that 5:3 ratio.
Start as usual, plot points, make triangle. The good news is that one of your sides does fit the ratio trick (length of 16, ratio is 5:3 Total of 8, 10:6 Total of 16. Count DOWN 10 units, landing you at (2,-1) ) , but its that other side of length 6 thats the problem... so here your going to have to divide the side by the total... 6/8. That will reduce (to make your work easier) to 3/4. That means your going to have to create new units within the existing side. Start from the right angle of your triangle and mark every 3/4 of the unit blocks towards the LEFT (your other point). If you do it right, starting from that bottom corner (2,-7) marks at (1.25, -7), (0.5, -7), (-0.25,-7), (-1,-7), (-1.75, -7), (-2.5,-7), (-3.25,-7), and end on your point A(-4,-7). You now have 8 new units you can count that both aligns with the original xy-plane, and fits your ratio trick of 5:3 T=8. Count 5 of those new units LEFT towards B, which will place you at (-1.75, -7).
Now you can trace left from (2,-1) and trace up from (-1.75,-7) to point P which is located at (-1.75, -1)
*Note, if your points were switched and/or you need 3:5 you would do all same except reverse in direction-counting and you would land on P(0.5, 3)
This trick works for specific situations, which is why its a trick, but can be finagled a little (as we did in the explanation above) to make it work.
Hope that helps, and good luck.
how did he get 7 from the 3/4ths
Its the sum of the ratio. 3:4 ratio gives a total of 7. Then, any multiple of 7 can be broken up into groups of multiples-of-3’s and multiples-of-4’s.
A different example would be 1:4 ratio has a total of 5
nice@@thommarchetti5305
ok shut up
no, u shut up
no u
wow
This was so confusing personally
Can you help me with a question?
I can try. Whats up?
Thom marchetti the question is given AC with A(3,4) and C(-9,-2)if B partitions AC such that the ratio of AB to BC is 1:5 find the coordinates of B. I tried using your method it worked for another question just not this one. Can you help?
So this works the same way as the example, but be careful, as you will want to head towards pt C (meaning start from A and count towards C). If you find your distances horizontally and vertically, you should be getting numbers divisible by your sum of ratio parts (here six). Your horizontal distance will be 12, and you should be able to make that into 2:10 ratio, so count towards C 2 units. Your vertical distance is 6, so keep the ratio of 1:5, count 1 unit towards C. I am getting point B located at (1,3). I hope that helps
Thom marchetti it did a lot thank you.
Man, I tried this at it failed as soon as I started.
Sorry it didnt work out for you. It works a lot of the time, but it’s not perfect. There are situations where it needs a few extra steps. But, without seeing the problem, or the work, its tough to say what went wrong and how to fix it.
@@thommarchetti5305 what if the ratio cant be multiplied into the total like ratio 1:3 while A is -1,2 and B is 7,8
@@elsofcsgo7359
Check through these comments. Someone had a similar question that I tried to work out. But basically, work with a least common multiple so you will end up with pieces that fit your ratio
did not work for me
Bummer. Out of curiosity, what were the specifications of the line segment?
Partitioning*
Thank you! This is so helpful!