Area of a Triangle With Vertices - Geometry
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- Опубликовано: 25 авг 2024
- This geometry video tutorial explains how to calculate the area of a triangle given the 3 vertices or coordinates of the triangle.
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Thank you so much! You've basically been helping me through high school and I'm so grateful 😊
There has to be a more simple way of writing that formula! There's no way I'll have enough time for that on a test.
I'm sorry this is late but look at this! ruclips.net/video/It9Vd3UFYVg/видео.html
So the way I'm remembering it is first, the X's:
123 123
Now, the first set of 123 are all positives (+) and the second set are all negatives so:
1 + 2 + 3 - 1 - 2 - 3
And then for the Y's we have to just remember: 231 312.
So, if we put them together we get:
1(2) + 2(3) + 3(1) - 1(3) - 2(1) - 3(2).
Substitute the Xs and Ys in and you'd get the formula. I over complicated it for explanation but it's really just:
123 123
231 312
1(2) + 2(3) + 3(1) - 1(3) - 2(1) - 3(2)
X1(Y2) + X2(Y3) + X3(Y1) - X1(Y3) - X2(Y1) - X3(Y2)
Which is the equation. Then just remember: 1/2||
It's not that bad, definitely easier than [-b + sqrt(b^2 - 4ac)]/2a
@@user-xw4mu6nz4t oh yeah🤩 arigato
Heyyy. Use the distance formula to find the sides then it'll be 100 times easier
Use determinant method
The formula that comes from nowhere😂😂
lol, modern day education.
It’s a real formula bruv
Don’t talk when u don’t know
@@danishrauf6888 Heard about derivations?
@@adithya4804 the derivation: ruclips.net/video/zAtF8SDAqTg/видео.html
the derivation: ruclips.net/video/zAtF8SDAqTg/видео.html
MR. Organic Chemistry Tutor, thank you for another video/lecture on finding the Area of a Triangle With Vertices in Analytical Geometry.
thank you so much this helped me a lot and your video was very nice and slow for me to understand each of your steps. keep up the good work
Thank you! I learned a lot and your voice is 😩❤
I can just tell your subscription list are full of ASMR RUclipsrs lmao
I just adore ur explanation bro...
Keep it up
Thank you, pretty sure my teacher forgot to mention the formula. but do I hope that this question doesn't come up on the test or else I'm toast.
Was it in the test? Do I need to buy butter?
@@user-xw4mu6nz4t ahahahahaha
@@user-xw4mu6nz4t lol
Here is a much easier way than remembering some arbitrary formula:
area(triangle) = 1/2 * |a x b|. Where | | is the length of the vector and a x b is the cross product of a and b. You can find a and b by subtracting one point of the triangle from the other 2.
If you don't believe me just draw it. It's super easy to remember, just think 'half the magnitude of the cross product'
Bro this formula is for right angle triangle
@@ayyanalam5805 bro no it's not, it works for any triangle
Thank you
Man thanks for the help man you explain it amazingly 👏
Even easier way of remebering the formula is to write up the vectors like he did in the video and then just go three times in a diagonal pattern starting on x1 with porsitive sign and going to the right and then just do it again starting on x1 but doing diagonal to the left still moving to the right with negative signs. He had me in the first half not gonna lie...
Watching this literally 15 minutes before a test lmao. Thanks for helping me out 🙏🙏
i have a question
does it have to be in a specific order the x1 y2 ect..
like the ''A'' has to be x1 and y1 and not x3 and y3 ?
will that affect the answer?
🤔
chat gpt says that the most important matter is your consistence in the choice no matter which of them are x1 either x2 in the points
1:50 to 2:03 what? Lmaoooo
ruclips.net/video/It9Vd3UFYVg/видео.html
Thank you so much. Very helpful👍
THANK YOU. This video saved me!!!
thanks man it helped alot with me ❤️
Thank you teacher, it helps in my test 😊
Thank you..you are helping me a lot...🇿🇦
How about if you are given 2 vertices and area of triangle how to find the other vertex?
Thanks ❤😂
what if I have to find x? what is the formula for that?
Thank you do much
Hey, can you do it by finding the vectors and then finding the determinant value (1/2 X determinant magnitude)?
Yes, he's doing the exact same but skipping a few steps iirc.
Can I just send you the PROBLEMS??? kidding. But thank you for helping us understand this..❤️❤️❤️
Do you have any videos could help me with this draw a line segment from the point to each vertex of the triangle thanks
Does this work if you have a z plane (3D), e.g a=(1,2,4) b=(2,7,6) c=(231)
Since the order is in anti-clockwise, how do I know what order to put a coordinate with an unknown?
Can this work in the 4th Dimension (Time Space Continuum)?
Im learning this for 7th grade and reading the comments, people from high school have just learnt this..
No wonder why i dont understand this
Does this work with every triangle?
Bruh, I have a math contest tmr 🙃, I'm just reviewing and I saw this, I still don't get the formula but I understand the solution ig
How the fuck am I supposed to remember that formula
what if I want to find the area while the vectors are in the 3rd dimension?
area(triangle) = 1/2 * |a x b|. Where | | is the length of the vector and a x b is the cross product of a and b. You can find a and b by subtracting one point of the triangle from the other 2. It works in any number of dimensions
God send!
This is just a great formula. Whi can remember it?
Using the same triangle how to find the perimeter? cuz thats the problem i have now pls
use the distance formula to all of the vertices, then use the formula :
P = a + b + c
It's better to use matrix type formula..
Then point lies inside triangle
weird, my teacher gave us completely different formula, but it gives the same result.
But pls I need ur help in polynomials...
Everything about polynomials
Plzzz help
How'd the -75 became positive 75?
It is because the equation is in absolute value, which means the distance a number is away from 0.
I love your videos and they help me a lot but where does the formula come from. I feel like Plankton
Its legit just a formula. The formula to get the area of a triangle is 1/2 |x1 y2ーx2 y1|
Its just how to get the area of a triangle, nothing more nothing less
@@aggieh why is his like 20 different combinations of x1-y2 y2-x1 x3-y1 and all that shit
@@aggieh Actually it's area(triangle) = 1/2 * |a x b|. Where | | is the length of the vector and a x b is the cross product of a and b. You can find a and b by subtracting one point of the triangle from the other 2.
I have too easy method from that 😂😂😂😂😂
😂
He doing a lot bc real ones just plug that into a T-84 and the teacher starts snapping bc you didn’t show work and you’re like who me? I was under a spell
When you do that just simplify it I skip the whole first step but if you’re teaching a mf that makes sense
Next topic! Face reveal hehe🙏
okay but why does he put it in that order?
Doesnt work for all cases
ruclips.net/video/It9Vd3UFYVg/видео.html
What Da duck???
Wtf is this formula gang 😭😭😭
Way too much writing
bruhhh the formula.
the derivation: ruclips.net/video/zAtF8SDAqTg/видео.html
This Video has the least hype, what happened??
That formula is the reason why this video is is most failing in his channel 😂
this content sucks no help random algebra coming from no where its very confusing please explain in a more SIMPLER way
Nahhh wtffff
This equation is so dumb smh
bro your mic is really bad
Nigga do you expect him to have a 4000 dollar mic? It's fine as is