Area Of A Non-Right Angle Triangle

  Рет қаралды 433,670

VividMath

VividMath

Күн бұрын

Пікірлер: 186
@lightschunk
@lightschunk 9 жыл бұрын
A teacher couldn't teach me this over two weeks. You taught me in 5 minutes. Why isn't America bleeding its finances over to this guy.
@christophermoyer4255
@christophermoyer4255 6 жыл бұрын
DrDelicious70
@michaeldengg
@michaeldengg 4 жыл бұрын
wtf
@JaceTimes
@JaceTimes 4 жыл бұрын
Because America likes to defund the education system
@bubbletea3277
@bubbletea3277 4 жыл бұрын
cause he’s australian
@noonesfavorite911
@noonesfavorite911 3 жыл бұрын
Did u graduate
@Al3xtheMeh
@Al3xtheMeh 9 жыл бұрын
You have saved me from failing geometry. Thank you
@aviralomar3760
@aviralomar3760 6 жыл бұрын
Hey! thats right but if we solve it from half base into height that also be correct exact 14 sq. cm if we costruct a triangle like this as i do by taking 8cms of base and from base creating a 30 deg. angle and make arc of 7 cms and complete the triangle then we draw a height very cleverly with the help of all main rules then we get exact height of 3.5cms and apply half b.h rule then on calculating 1\2*8*3.5=14 sq cms this means it is also correct i have drawn exactly same triangle as you. But if you think from an angle just on the triangle you made drop an height name it h given - angle b = 30 deg. c=7cms a=8cms you said ar(ABC)=1\2*a*c*sinB - equation 1 ( in triangle formed by droping height which has a side of h , c and some part of side a we got it as a right angle triangle here, sin(B)=opposite side(h)\hypotenuse(c) sin(B)=h\c) putting value of sin(B) in equation 1 we get ar(ABC)=(a*c*h)\(c*2) ar(ABC)=(a*c)\2 or ar(ABC)=1\2*a*c which is eventually half base into height
@joe-ig7sz
@joe-ig7sz 5 жыл бұрын
*trigonometry
@michaeldengg
@michaeldengg 4 жыл бұрын
Hey mate. Its trigonometry not geometry
@AnaMaria-di3hk
@AnaMaria-di3hk 9 жыл бұрын
Thank You so MUCH!!! You are the BEST at explaining and you work through every step making it easy to understand! Thank you so much. Keep up the good work!!!
@EmoWillie
@EmoWillie 2 ай бұрын
Awesome teacher Keep going by helping all students around the world ❤❤❤❤❤❤
@matthewchaffee2235
@matthewchaffee2235 4 жыл бұрын
Good video. Although, if I am to be picky, the Area=(1/2)(base)(height) DOES work for all triangles, but finding the height is an extra step if it isn't a right triangle. The Area=(1/2)*a*b*sin(C) calculates the height within the formula.
@WifiCatFilms
@WifiCatFilms 12 жыл бұрын
great diagrams i can definetely learn from this, keep uploading!!!!
@skirnrhfs
@skirnrhfs 2 жыл бұрын
Thank you so so much this vidio should have got so many more likes 10 years late
@nov4nitro558
@nov4nitro558 4 жыл бұрын
This channel is AWESOME!!! It made my maths so easy!!! Thank you Vivid maths!!
@VividMath
@VividMath 4 жыл бұрын
Thanks! Happy to hear we could help :)
@VividMath
@VividMath 10 жыл бұрын
Good question! All you have to do is first use the sine rule to find another side.( to use sine rule you need 2 angles and one side) . Now you have two sides, so you can use the above formula to find the area, hope that helps. :)
@chrismadden2615
@chrismadden2615 10 жыл бұрын
How do u .do this without. Measuring
@skylarkaljaha2918
@skylarkaljaha2918 9 жыл бұрын
Chris Madden really?
@aegizz
@aegizz 8 жыл бұрын
@Zaara Khan u wont need this until 9th grade+ (i think)
@aviralomar3760
@aviralomar3760 6 жыл бұрын
same thing
@goldenlady3659
@goldenlady3659 5 жыл бұрын
Thank you so much!
@MooMooMath
@MooMooMath 10 жыл бұрын
This can help my students Thanks
@PWskates
@PWskates 12 жыл бұрын
great video; teaches complex subjects in a simple manner!
@pierrebringmans4274
@pierrebringmans4274 7 жыл бұрын
wish i had a teatcher like you when i was young great job sir
@calliehinson7532
@calliehinson7532 7 жыл бұрын
This helped me ace my test! Thanks, man!
@jochemterbogt5310
@jochemterbogt5310 10 жыл бұрын
Very helpful! Thank you!
@riverpointe6843
@riverpointe6843 10 жыл бұрын
thank you
@cadeiraratom
@cadeiraratom 8 жыл бұрын
damn this is teacher is lit 🙌🙏🙌
@kevroytaylor2377
@kevroytaylor2377 7 жыл бұрын
I dont understand this
@aviralomar3760
@aviralomar3760 6 жыл бұрын
Hey! thats right but if we solve it from half base into height that also be correct exact 14 sq. cm if we costruct a triangle like this as i do by taking 8cms of base and from base creating a 30 deg. angle and make arc of 7 cms and complete the triangle then we draw a height very cleverly with the help of all main rules then we get exact height of 3.5cms and apply half b.h rule then on calculating 1\2*8*3.5=14 sq cms this means it is also correct i have drawn exactly same triangle as you. But if you think from an angle just on the triangle you made drop an height name it h given - angle b = 30 deg. c=7cms a=8cms you said ar(ABC)=1\2*a*c*sinB - equation 1 ( in triangle formed by droping height which has a side of h , c and some part of side a we got it as a right angle triangle here, sin(B)=opposite side(h)\hypotenuse(c) sin(B)=h\c) putting value of sin(B) in equation 1 we get ar(ABC)=(a*c*h)\(c*2) ar(ABC)=(a*c)\2 or ar(ABC)=1\2*a*c which is eventually half base into height
@mari.6810
@mari.6810 4 жыл бұрын
Stop skipping English
@dehnerfranks6909
@dehnerfranks6909 7 жыл бұрын
Thank You!!!
@Alienmohno
@Alienmohno 7 ай бұрын
Thank you so much !! I really understand it
@cocogoat7667
@cocogoat7667 6 жыл бұрын
The area of a triangle is A=mc2illuminati
@av6966
@av6966 10 жыл бұрын
clear and concise ...thanks
@Intiprofes
@Intiprofes 4 жыл бұрын
Good coverage
@elimarburger1659
@elimarburger1659 5 жыл бұрын
you can use the formula 1/2 bh for any triangle that is quite misleading
@uzibouy_gh487
@uzibouy_gh487 4 жыл бұрын
Thanks alot
@sonjamogorosi5601
@sonjamogorosi5601 4 жыл бұрын
thank you so much my teacher never explained the formula used to calculate the area of a non right angled triangle,now I known how to do it .THANK YOU
@adrianfernandez894
@adrianfernandez894 7 жыл бұрын
you have saved my math test for tomorrow! thank you!
@aviralomar3760
@aviralomar3760 6 жыл бұрын
nothing new same way same thing
@107beyblade
@107beyblade 8 жыл бұрын
So it's basically 1/2ab x sin(angle?
@calliehinson7532
@calliehinson7532 7 жыл бұрын
Yes, but the two sides next to the angle given, so not always ab.
@abdelrahmanjabbouli1574
@abdelrahmanjabbouli1574 9 жыл бұрын
يا عيني عليك .. يا وحش 👍👍👍
@hunta7078
@hunta7078 6 жыл бұрын
Thank you very much, Great video, helped a lot
@murrayrobertson1374
@murrayrobertson1374 5 жыл бұрын
Big brain teacher
@sabamelek2553
@sabamelek2553 5 жыл бұрын
Thankyou, very helpful
@sanveermahabir5117
@sanveermahabir5117 4 жыл бұрын
Thank you so much
@VividMath
@VividMath 4 жыл бұрын
You're most welcome
@kyrullosaziz2118
@kyrullosaziz2118 4 жыл бұрын
You are actually just
@kyrullosaziz2118
@kyrullosaziz2118 4 жыл бұрын
Amazing
@yennxxzz
@yennxxzz 5 жыл бұрын
Well explained,well done👍🏼
@zulfiqarmuradi3300
@zulfiqarmuradi3300 3 жыл бұрын
Thanks
@lilapple4235
@lilapple4235 6 жыл бұрын
THANK U SO MUCH U SAVED ME FROM MY REVIEW OF LONG TEST!!! I USED LAW OF SINES THEN DOING 1/2abSinC then the answer wasn't in the choices! It was just 1/2acSinB!!!!THANM U SO MUCH DUDE
@D1YAR3R3N
@D1YAR3R3N 5 жыл бұрын
wow best teacher...
@gussgik2053
@gussgik2053 12 жыл бұрын
Thanks to you I got an A in my last test
@lenanemes4741
@lenanemes4741 10 жыл бұрын
This is very helpful
@Th3Ch0senUnde4d
@Th3Ch0senUnde4d 10 күн бұрын
I'm in my final year of A-levels and I forgot the formula, thanks for giving it to me concisely
@ajahmed72
@ajahmed72 4 жыл бұрын
U saved me a lot, thank you
@surferguy331
@surferguy331 8 жыл бұрын
U r better at teaching this then my 3rd grade teacher!
@shubhtube9706
@shubhtube9706 8 жыл бұрын
I am in 8th grade, and I don't understand sin and the formula, but helped me lil' bit.
@itrickz7145
@itrickz7145 8 жыл бұрын
you dont even learn trigonometry in 8th grade -_-
@shubhtube9706
@shubhtube9706 8 жыл бұрын
iTrickz Not if you're in high honors math, then you can. It sucks
@FlorianEagox
@FlorianEagox 7 жыл бұрын
Whether you learn it in school or not, you should still learn a bit of trig, it'll help you later in school. The sin of an angle is nothing but the opposite side to the angle over the hypotenuse.
@yazym2767
@yazym2767 6 жыл бұрын
SAME
@ZannatFH
@ZannatFH 8 жыл бұрын
nice way to teach. 😊i like it
@aviralomar3760
@aviralomar3760 6 жыл бұрын
nothing new same thing
@alexandertristan5983
@alexandertristan5983 9 жыл бұрын
thank you for your help
@austinhamilton745
@austinhamilton745 6 жыл бұрын
This video has saved my life
@educationexplorer7796
@educationexplorer7796 7 жыл бұрын
I converted your degrees to radians because my calculator works in radians. I got 0.5 :) Wonderful video. If only there were more people like you.
@shahidsalman8741
@shahidsalman8741 8 жыл бұрын
thank you :)
@EmoWillie
@EmoWillie 2 ай бұрын
Thank you so much Good lord above will blessed you 🙏 🙏🙏🙏🙏
@shinsa_lomboto
@shinsa_lomboto 3 жыл бұрын
bro this guy is the perfect teacher
@govlee8719
@govlee8719 11 жыл бұрын
Lovely!!!
@erickettler2345
@erickettler2345 6 жыл бұрын
thank you this helped me on my homework
@praisemiracle2726
@praisemiracle2726 6 жыл бұрын
man I love this
@lucasspence8997
@lucasspence8997 8 жыл бұрын
Clear
@zemfiramemmedzade6029
@zemfiramemmedzade6029 8 жыл бұрын
Thank you .Tanri sizden razi olsun :)
@ekramup7340
@ekramup7340 4 жыл бұрын
Nice
@farming_with_Dyllan_Takunda
@farming_with_Dyllan_Takunda 4 жыл бұрын
I swear this really helped me got an exam today at 9
@Georgeg15
@Georgeg15 5 жыл бұрын
Guys what you have to do is split the triangle in half to get a right angled triangle with a base of 4 , hypotenuse of 7 and a mystery height . Then you have to take away base squared by hypotenuse squared to get height squared which you then square root to get the height , times this by the original base et voila , the area ! Hop this helped .
@fsxurdu5893
@fsxurdu5893 9 жыл бұрын
Thanks a lot for being so detailed, Can i ask 2 things??? 1. Can i divide this equilateral triangle from center and then calculate it as right angle triangle?? 2. Can i write the formula as A=1/2absin?? Looking ahead for your kind guidance
@didos4games759
@didos4games759 8 жыл бұрын
No 1 : you can't do that unless you know that angle C is also 30 , which means angle A is 120 . So use you protractor to find the centre/ middle of 120 and draw a straight line down to the bottom from that point. No 2: no you cannot write it like that
@mukeshkumar0202
@mukeshkumar0202 7 жыл бұрын
I like this formula but i couldn't find your website. is it active or not???
@aviralomar3760
@aviralomar3760 6 жыл бұрын
Hey! thats right but if we solve it from half base into height that also be correct exact 14 sq. cm if we costruct a triangle like this as i do by taking 8cms of base and from base creating a 30 deg. angle and make arc of 7 cms and complete the triangle then we draw a height very cleverly with the help of all main rules then we get exact height of 3.5cms and apply half b.h rule then on calculating 1\2*8*3.5=14 sq cms this means it is also correct i have drawn exactly same triangle as you. But if you think from an angle just on the triangle you made drop an height name it h given - angle b = 30 deg. c=7cms a=8cms you said ar(ABC)=1\2*a*c*sinB - equation 1 ( in triangle formed by droping height which has a side of h , c and some part of side a we got it as a right angle triangle here, sin(B)=opposite side(h)\hypotenuse(c) sin(B)=h\c) putting value of sin(B) in equation 1 we get ar(ABC)=(a*c*h)\(c*2) ar(ABC)=(a*c)\2 or ar(ABC)=1\2*a*c which is eventually half base into height please note my comment. thanks
@ekramup7340
@ekramup7340 4 жыл бұрын
Good
@Zager-recap
@Zager-recap 8 жыл бұрын
Hi, i need to draw any angle just with pencil, i wonder if there is a technique that can help me to develop my eyes for that?...i ask for that because i learn drawing and this can help me a lot...thank you.
@calliehinson7532
@calliehinson7532 7 жыл бұрын
That's impossible without a built-on protractor.
@tanbunvireak2352
@tanbunvireak2352 6 жыл бұрын
Why there no one is arguing that the formula 1/2xbxh is not the applied to the formula of the area of the right-angle triangle? I have learned that the area of the non-right angle triangle can be calculated using that formula (1/2xbxh) and this goes completely opposite of that guy in the vid saying that you can’t.
@whysoseriouslycool
@whysoseriouslycool 12 жыл бұрын
awesome! thanks! but does is it just me or does it sound like he has a mix between a Russian accent and and Australian accent?
@Georgeg15
@Georgeg15 5 жыл бұрын
whysoseriouslycool yeah he definitely does .
@SilkiMist
@SilkiMist 3 жыл бұрын
he sounds Greek Australian
@rubenico8202
@rubenico8202 Жыл бұрын
New Zealand fs, fairly unknown accent sounds a lot like Australian but it’s got its own personality. Probably one of my favourite accents but yea pretty sure that’s it
@jeraldogranty9
@jeraldogranty9 4 жыл бұрын
Life saver
@bellamoral06
@bellamoral06 4 жыл бұрын
Bruh u saved me thank you so much
@vessel8748
@vessel8748 4 жыл бұрын
im watching this in the middle of a geo test
@Videowatcherguy
@Videowatcherguy 4 жыл бұрын
did you pass?
@harrygirgin6075
@harrygirgin6075 6 жыл бұрын
Hi and thank you for the explanation. I don’t understand what the purpose of the degree is if it isn’t taken into account. Like you said .5 divide by 56 divide by .5 The 30 degree angle does not come into account. So what will the purpose of knowing the degree achieve?
@Waldlaeufer70
@Waldlaeufer70 2 жыл бұрын
sin (30°) gives you the 1/2 or the 0.5 respectively. If there was an angle of 60° instead, sin (60°) would give you 0.866 instead of 0.5. So, the angle matters! If the angle was 90°, then sin (90°) would be 1 and you would end up with A = 0.5 * base * height.
@bernardolopez807
@bernardolopez807 10 ай бұрын
Regarding my previous comment: I really do not know how/where I learned it, but I use it and it always work. I only need to measure 3 sides... Disregarding angles and h. Let me know where this came from, because to be honest I do not know. I just know it works when I use it.
@RayLTX956
@RayLTX956 7 жыл бұрын
Can't you just cut it half and use 4 as the base and use Pythagorean theorem to find the height, then find the area of one triangle and multiply it by 2
@hahnchen6608
@hahnchen6608 6 жыл бұрын
Davisgames no because that’s assuming the triangle is isosceles
@tntcraft4861
@tntcraft4861 10 жыл бұрын
What he did in 2:15
@Sam-iv7nx
@Sam-iv7nx 7 жыл бұрын
ok dude... got ya!! but at the end [ why cm^2 square ] ?
@aviralomar3760
@aviralomar3760 6 жыл бұрын
nothing new
@raulfloarea292
@raulfloarea292 5 жыл бұрын
Area is measured in in cm, m, km... Squared, cause you can't measure area with lines (Which are measure in normal units, no squared or cubed), also because the base and height are both in cm and multiplying a cm with a cm gives a cm^2.
@bernardolopez807
@bernardolopez807 10 ай бұрын
A=square root of S . (S-a) . (S-b) . (S-c) where S is = (a+b+c) / 2
@barryforthewin3564
@barryforthewin3564 10 жыл бұрын
What do you do if u have 2 angles and 1 side then
@minu4332
@minu4332 4 жыл бұрын
You saved my life from my teacher 😅😊BTW I understand that you
@abdurrahmanabir242
@abdurrahmanabir242 7 жыл бұрын
niceee
@juliauy8320
@juliauy8320 5 жыл бұрын
does this work to an obtuse triangle???
@aneesurrehman4135
@aneesurrehman4135 3 жыл бұрын
if i make it right angle triangle by sketching imaginary line half the base and find side ( height) will that work as height of a triangle???
@befourbefour7355
@befourbefour7355 7 жыл бұрын
how do we a triangle with given 2 angles the lenghts are given perpendicular to that angles.
@someone-ug1hu
@someone-ug1hu 8 жыл бұрын
plz tell me what those the sin do
@SepticNerd
@SepticNerd 3 жыл бұрын
My guy could've just said 7x8x0.25 you would still get the same answer
@Durpyd233
@Durpyd233 11 жыл бұрын
wow, he makes this seem like a joke
@jane.chapey
@jane.chapey 4 жыл бұрын
WHAT I've watched this three times and I'm still too stupid to follow! 😂
@empress6262
@empress6262 4 жыл бұрын
same😭
@dr.trousers6101
@dr.trousers6101 4 жыл бұрын
seriously? what part is hard to understand? (not being a dick, merely asking)
@lucho7561
@lucho7561 5 жыл бұрын
heeyyyyyyyyyy, I'm not failing anymore.
@maxirasul2619
@maxirasul2619 7 жыл бұрын
I understand that maths is good for me
@isabellaegan5051
@isabellaegan5051 6 жыл бұрын
I find it easier to relabel the triangle rather that change the formula
@yousra134
@yousra134 8 жыл бұрын
If two angles are give how to we know which angle is Sin C?
@anniemoses9478
@anniemoses9478 8 жыл бұрын
Yousra the angle your trying to find is the sinC, but if your not trying to find an angle but a side, then you need to use one of the two given angles inside the two sides (in these sides there is the one you need to find)
@Shep_c
@Shep_c 2 жыл бұрын
That’s not a right sided triangle, and therefore that’s the wrong formula. Easiest thing to do is split it into 2 right sided triangles, you already calculated the area under one (18) now you need to calculate the area under the second (3). Total is 21.
@sivanagaraju11
@sivanagaraju11 5 жыл бұрын
What is the value of B
@JSaintJT
@JSaintJT 5 жыл бұрын
Pls how do you got that sin 30 in calculator as 1/2, i want to know pls. ?
@carultch
@carultch 2 жыл бұрын
Switch your calculator to degree mode, and calculate sine of 30 degrees. Or translate 30 degrees to pi/6 radians and use radians accordingly.
@duaamal1k
@duaamal1k Ай бұрын
pls put the fries in the bag
@iamlisa0772
@iamlisa0772 8 жыл бұрын
I watched 3 tomes and I still cant follow
@someone-ug1hu
@someone-ug1hu 8 жыл бұрын
could you plz and say it's for which grade I'm grade 6 but I still understand it except the sin what does it do
@calliehinson7532
@calliehinson7532 7 жыл бұрын
Unless you're in advanced math, Trigonometry is usually taught in sophomore year (grade 10) in America. I'm a freshman (grade 9), and taking Honors GST (Geometry, Statistics & Trigonometry). The sine is a key on a graphing calculator that helps to find the missing hypotenuse (the longest side) or missing leg (one of the other two sides) on a triangle. You would usually use sine by setting it equal to the opposite side of its angle to the hypotenuse. In other words, sine(angle)=opposite side/hypotenuse There are also tangent and cosine, which are the other main keys used in this function of trigonometry. Tangent's formula goes like this: tan(angle)=leg opposite to angle/other leg Cosine's formula goes like this: cos(angle)=adjacent leg/hypotenuse The other thing you can do with these signs is find the angles with only two of the triangle's sides. To do this, you input the sides like you did before, in fraction form. Then, you use the 2nd key at the top left of your calculator and press whichever button corresponds to the angle you want to find. If one of the measures of the triangle is a decimal, then you can divide them and do the same thing afterwards. 3/4->2nd->sin will work the same as .75->2nd->sin In math, when you use the 2nd button in this instance, it will be referred to as any three of the buttons with a negative one on the top right, in the same place as when something is squared, like 6 squared is 36. (The 2 would be on the top right of the six.) For example: EQUATION: sinX=opposite side/hypotenuse BUTTONS IN ORDER: opposite side/hypotenuse->2nd->sin You would do the same thing with cosine or tangent, but using 2nd->cos or 2nd->tan instead. Adjacent means the leg right next to the angle that is not the hypotenuse, if you didn't know. If you're really interested in math, I suggest you study what you have right now in class so you can get into higher math faster. I do recommend you bookmark this video, because this part of trigonometry is easy to forget. If you have any questions, don't hesitate to ask!
@rita-aurorareuelu8426
@rita-aurorareuelu8426 Жыл бұрын
What abt perimeter?
@Pocoloco8
@Pocoloco8 Жыл бұрын
Just add all the sides. To get the 3rd side, you can do Sine of the angle your given is equal to opposite side over hypotenuse and solve for it.
@deniserichards7291
@deniserichards7291 7 жыл бұрын
I love you 😘😘😘😘
@cup1dcak3
@cup1dcak3 5 жыл бұрын
I wish this was my math teacher omg A teacher will teach this subject for week He teaches this in 5 min and also some jokes
@jorbinishere2494
@jorbinishere2494 5 ай бұрын
1/2 x base x height: 😆😆😆 1/2 x base ….no height: 😧😧😭😭😭
@KianKrashesky
@KianKrashesky 9 жыл бұрын
What if you're not given a degree of an angle?
@juanserrano289
@juanserrano289 6 жыл бұрын
Kian Krashesky use Heron’s formula
@marshalllee3117
@marshalllee3117 6 жыл бұрын
What if the angle is not given
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