Ambiguous case law of sines two triangles SSA
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- Опубликовано: 26 авг 2024
- 👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions, and no solution.
Using the law of sines, we can obtain the value of the angle opposite the second given side length.
Case 1: If the product of the sine of the given angle and the given side adjacent to the given angle is greater than the given side opposite the given angle, then there is no possible solution satisfying the given values.
Case 2: If the obtained angle is greater than the given angle, then there are 2 possible solutions satisfying the given values.
Case 3: If the obtained angle is less than the given angle, then there is only 1 possible solution satisfying the given values.
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Organized Videos:
✅ Law of Sines
• Law of Sines
✅ Determine 1, 2 or No Triangle
• Determine 1, 2 or No T...
✅ Law of Sines | Learn About
• Law of Sines | Learn A...
✅ Law of Sines | ASA
• Law of Sines | ASA
✅ Law of Sines | AAS
• Law of Sines | AAS
✅ Law of Sines Ambiguous Case 2 Triangles
• Law of Sines Ambiguous...
✅ Law of Sines Ambiguous Case 1 Triangle
• Law of Sines Ambiguous...
✅ Law of Sines Ambiguous Case No Triangle
• Law of Sines Ambiguous...
✅ Ambiguous Case Law of Sines | Learn About
• Ambiguous Case Law of ...
✅ Find the Area of an Oblique Triangle SAS
• Find the Area of an Ob...
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Thank you for the help. I guess you could say this saved my SSA for the test tomorrow.
hope so, best of luck!
In our school:
Angle
Side
Side
spells troubles and means trouble
How big is your ssa
Can't believe I never thought of that!
same..
Brian: Explains in a smart, clear and concise manner without giving 200 problems
My Teachers: We don't do that around here
Mckenzie in the background is my spirit animal. So lost and scared
ahhhh sorry to hear, do you have a question I can help you with?
Not anymore thank you. I learned a little from your videos and from some other math tubers and now it all makes sense.
perfect! glad you were able to figure it out
😂😂
Legit wish you were my teacher mine just gives like 200 problems to do on our own and doesn't really teach. You've helped me a lot this semester man 👍👍 Thank you man.
you are very welcome! happy to be able to help
Thank you Mr. McLogan. I hope you know that you are appreciated by tons of people all around the world, in a world where our teacher doesn't teach us well enough / we didn't understand it how they taught it, yet your video helps ALOT. :)
Chris Hansen Thank you very much! I greatly appreciate your comments and happy to help out everyone looking for math help!
Lol to catch a predator. The professor doesn't even know
BRIAN MCLOGAN YOU SAVED MY LIFE I'VE BEEN TRYING TO FIGURE THIS OUT FOR THE PAST 100 MILLION YEARS
I got an exam on Functions and Trigonometry in 20 minutes and I was struggling on Ambiguous Cases. Thanks for explaining this better than any math teacher in my school.
I wonder how many people look at these right before exams… cause I’m doing the same thing rn lol. 20 til the test too
I'm in college taking precal and trig, and these kinds of videos on you tube are saving my scholarship. Seriously, thank you! I wish the expensive textbooks students are forced to buy explained things half as well as you.
Zoe Shern I feel this in my soul
This helped SO much, why can't all math teachers explain it so simply?
happy to be able to help you out!
Maybe they can't?
But yeah if they explained it so simple maybe everyone will love it
I guess
Brian, I'd like to publicly thank you for taking the time to think through your lessons before you give them. You try to make clear each lesson you teach. You come at it at all angles so that all might intuitively understand. I'm taking trigonometry in college, but unfortunately I never took trig in high school. My college trig teacher never gives a model to teach with. He always rushes through and I am totally lost sometimes. To make up for that , I come to your videos, where finally, a clear picture is obtained. I appreciate you.
Just want to say that the way you teach and elaborate helps simplify this material for better understanding. You seem like a great teacher. Wish I could have had you when I took this class. Currently reviewing for the SAT and your videos are extremely helpful, thank you.
you are very welcome! happy to be able to help you out and wish you the best of luck on the SAT
u explain it so well! Im stuck in quarantine, so we have online classes with online HW and no lectures so thank u so much for explaining it so easily.
I could actually binge watch these, these videos are oddly so interesting. Our teacher can't explain anything even if his life depended on it, he over complicates things waaay too much. Thank you for the videos!
you are very very welcome!
That door hinge example was genius! I was so confused but that metaphor really cleared it up.
I honestly forgot to think that the rule of a^2+b^2=c^2 only involves right angle triangles, until now, you have reminded to do the rule shown in the video to actually find the correct length; you've got my sub. Thanks
great John! happy to be there for you. Let me know if there is anything else I can do to help you with your studies
You explain this so much more intuitively and visually than my junior professor, bless his heart. The way you describe it analytically, geometrically, and conceptually goes a long way to helping me internalize this skill.
Legit panicking at 5 AM before my exam and this man is saving my life with 15-minute videos. I've been solving triangles for a year now and i just now understood what the hell they are
That was a good explanation, I really got interested when you drew the circle and showed both the accute and obtuse angles. I learned this in my college years but I like to review and you made it a lot easier to comprehend. Thank Very Much Sir!
Mr.Mclogan, you dont know how easy you put this concept in my brain, thank you sir!!! All the best
Brian: I am teaching my math class for the first time today thank you for explaining the lesson to me your an inspiration to
awesome, wish you all the best
So happy to help!!
mans better than austin
This way is definitely a longer way compared to how they teach us at my school, but this way makes way more sense to me. Thank you
I was totally lost confused when reading the book but after watching this video it is all clear now. Thanks for your help!
You're a professional teacher that understands where students struggle.
Thank you, THANK YOU so much for having this RUclips channel. You might just never know how much you actually help us.
Thank you so much for this video, my math teacher is so awful and he really doesn't explain how to do things. I think he explained how to do ambiguous triangles like this once but very poorly and unlike him you explain the reasoning behind why we do certain things like subtract the angle we solve for from 180 to get the 2nd angle, makes so much more sense.
awesome! happy to be able to help you out
im finishing my my degree for teaching math... over the past hear or so, i have modeled/mimicked some of the things you do in class. thanks!
That is great to hear Lee. Teaching is a great endevour. It is amazing in the 10 years how much I have grown and changed as a teacher. Keep working to always improve, recording my lessons has helped me do that. If there is ever anything I can do to assist you in the future, please let me know. Thanks!
Thank you so much Mr. McLogan, I am doing an online course, and this really helped alot.... I watch alot of your videos and I just really want to thank you! I am taking the final tommorow and this helped a tonnn. Thanks!!
you are very welcome Aayush! happy to be there for you
Wow, you are an amazing teacher who is able to get his point across to the class in a way that is referencing lessons that have been previously taught.... I wish my math teacher could be half as decent. Thank you for giving me a way to receive instruction that appeals to me.
you are very welcome! happy to be able to assist you
I have learned this concept a couple of times but no one has ever taught it to me as well as you just did! Thank you!!
happy to hear that! keep up the hard work
Thanks a a lot. Instead of doing the longer method my teacher taught me i used yours combined with Khan Academy to verify that I'm learning it properly. Five hundred million thumbs up dude.
awesome! happy to help
Making test corrections today after school because i didn’t know how to do SSA or the ambiguous case. Thank you for saving my grade.
Wow! Thank you so much! This helps me so much with understanding the Ambiguous case!
+Jack Chang perfect! happy it made sense
I heard an alarm and was waiting for it to go away for like five minutes. Then I paused the video and realized it was my brother's alarm 😭😂
Thank you so much, I was so confused in class and completely understand now!
Not everyone speaks the same language the same way. It would be nice if students could be matched with specific instructors based upon the assessment of their interpretation. -My professor most likely taught this to me to relay the saaaame exact message, but i didnt understand him, I never do. But you my good sir! ... you and I speak the same language the same way!! I get AAALLL of your videos and they helped me pull through and pick up to speed this semester, your channel is my GO TO channel whenever I don't understand a section and every single time with out failure, I walk away mastering the topic( I feel like I can tutor in the math center at my school sometimes! ) !!! I love your account. thank you so much for your videos and your time! Amazing!
Hi Mya, Thank you for your kind message. I am so please to hear that my videos have been able to help you out. One of the reasons I created this channel was because not everyone learns the same. If my videos can just help a couple of students that makes my day. Keep up the hard work and just so you know I am here for you. Let me know if there is anything else I can do to assist you.
You're honestly the best math teacher I've ever saw you explain things clearly for some stupid reason I took an online math class and you're basically a teacher thanks so much
you are very welcome Dalton! Happy to be there for you
I’m in eighth grade and I have a test on this tomorrow. Thanks for the help, this taught me a lot
Kabuki Man eighth grade? I’m in 11th grade honours and we’re just doing this now
Kaden Weinheimer lmao same wtf
Kaden Weinheimer yoo you go to my school 😂
Scorpen bruh
Kaden Weinheimer I did Law of Sine and Cosine in 9th but I didn’t get to the SSA case until 11th
You have given me one of the best explanation I could have ever stumbled upon on RUclips this is beyond informative and I am very grateful! Thank you so much.
+Juan Diego Parra happy to be able to help you out!
Muchas gracias por tomarse el tiempo de explicar esto, en serio sus videos son muy útiles y me ayudaron bastante. 🙂
Thanks for the video. It really helped me review for the SAT. Also a quick shortcut to see if there is an ambiguous case is to look at the angle value of the first angle you solved for. If it is greater than the given angle then there is an ambiguous case.
happy to help and thanks for sharing
thank for not over explaining and using all confusing mathematical jargon and actually coherently explaining it
I love the way how you teach.... Thanks a lot
My teacher had been sick the past week and a half and we don’t have anyone to sub so we’ve basically had to teach ourselves this unit. This was so helpful, thank you 😭🙏
Well structured and helped me with what I needed! Thanks!
perfect! happy to help
I swear this is what's saving my grades. I have my classes in the morning and it's impossible to think and pay attention, these help so much. 👏👏👏
I was so confused on what to do about the ambiguous case for Law of Sines until I watched this video. I would have been so confused on what to do on my test tomorrow had I not watched this video. Thank you so much!
You are very welcome!!
Thank you! You taught me better than my teacher and her videos
Dear Mr. McLogan,
My name is Shayaan Makki. Thank you for the videos that you have posted on RUclips on topics such as Alegra I all the way to Calculus. They were really helpful and helped me understand topics that I didn't learn clearly in class. Currently, I am a 10th grader taking Pre-Calculus Honors and am having trouble understanding the concept of the Ambiguous Case of the Law of Sine for Two Triangles. Can you please explain how to find the obtuse angle for the Triangle and how to confirm whether there actually is 2nd triangle? Thank you.
Sincerely,
Shayaan Makki
Thank you! you explain better than my teacher!
You are very welcome!!
this certainly helped me through my current trig section i was stuck on. great job breaking everything down so well! thank you for these videos and im going to have to stop here more often for your lectures!
+Alexx Borst teaching trig next week, so more videos to come
I like how you teach students to get the "h" and compare to a and b to determine 0, 1, or 2 triangles. I'm going to remind my precalc students of that.
You look like Randy Orton, especially in this particular video
Hopefully he will rko makinzie
why cant all my teachers be like this. you've saved me on so many tests and now for my exam tomorrow
This has helped tremendously! Hope everyone is okay during the coronavirus pandemic :)
Thanks - I tried Reddit to answer the question. The first two minutes answered it.
Me watching this for help w my homework and then he says my name so I feel like he knew I was here lmao
He is the only person with this content and he is really useful!
Thank you for this video and all your other videos that continue to help me through my senior year!! You rock!
keep up the hard work!
i got what you did on the board, but I still don't get how to determine if you have 1, 2 or no triangles...?
I love your videos. After watching I don't just understand how to do the problems, I understand WHY we do them that way. Thank you.
+John Forgarty that is exactly what I am looking to teach, thank you for letting me know!
This guy is a good teacher, watch and learn.
thanks! happy to help
thank you so much! because i go to a laboratory school, where student teachers are able to teach mostly full time because we are connected to a college, i have a bad student teacher at the moment. she didn't explain this at all. saved me for my test tomorrow!!
sorry to hear about that, but happy to be able to assist you!
9 years ago and still helpful!!
man why you don't use the ambiguous cases properly. it is too simple to recognize the number of solutions.
For instance: if
im still lost...
You're a wonderful teacher. Thank you.
Thank you 🙏 saved my math grade for this quarter
my trig test is in a couple days this helped alot, thanks
Thank you so much for making this video. It helped me so much! I am doing so bad at trig, you are the only thing keeping me up. Thanks again!
you are very welcome Salem! happy to be able to help you out!
WOW u explain it better than my actual teacher
happy to be able to help
Omg I am panicking! I have my test tomorrow and I didn’t get it when my teacher discussed it to the class. I am reviewing rn
This video helped allot. I was studying for my final and my textbook is terrible at explaining SSA problems
This helped me a lot. Thank you so much! :)
dude thanks so much this helped me with my maths assessment
Thank You! This helped me with my 9th grade Alg2 Trig Course!
awesome! happy to be able to help you out!
Thank you so much! This was the one problem type i just couldn't wrap my head around and this helped so much
awesome! happy to help
very ironic, I got stuck on a problem in my precalc book and came here. About halfway through the video I realized you were doing the exact same problem I was stuck on lol. Thanks for the help.
that is awesome!
You are the reason I will be graduating. Thank you.
Thank you so much. I wish you were my teacher
Thanks!, this helped as a good review to understand the little things that confused me
happy to be able to help you out!
After watching this about 10 times, it finally makes sense to me, how there could be 1, 2 or no answers. I'm about to enter High School.
What math are you doing?
This man saves lives
this was so helpful thank you. i wish you were my math teacher :( my teacher doesn't explain anything she just expects us to know everything. and lmaoo mackenzie in the back
why this man teach way better than my college professor.
thank you so much. you really help me understand these trig lessons that my teacher doesn’t teach well.
you are a life and money saver, thank you so much. you are the only person know who can explain something so convoluted into something simple
I wish I had this guy as a teacher
Happy to help you out!!
you're the best thank you mister! videos like this take so much stress off because the explanation is so perfect! thank you for becoming a teacher lol and then filming yourself
+Selenne Martinez it just so randomly happened when I first started recording myself, but happy I did so to help students just like you
i helped my friends out with the way you taught it rather than how my actual math teacher tries to teach it and they understand it now! it worried us because we have a test this friday but thank to you we can breathe and relax lol
Thank you so much for this! It’ll be easy to remember this, cause of how it’s spelled backwards. Lol, but honestly that’s how I’ll remember! Thank you so much for your videos though! I watched your videos last semester, and this semester as well. Whenever I search help for math on RUclips, I click on yours over all the others...every time! Wish you were my teacher.
happy to be able to help Valerie!
Big Clutch. I have my final tommorrow and maybe I won't get every problem wrong on this section!
I have an math exam tomorrow!! thank you so much
Best explanation I've seen
Mr. McLogan you're my hero!! Thank you so much!
+Josh Stone Happy to help you out!
i have a quiz on this today and now i feel so much better!!! thank you!!!
Very helpful! My math textbook explained pretty much nothing compared to your video also I like this format
thanks very much, am having a test in a few days and this helped loads
i missed this on my precalc quiz today, but I watch this so now i will be ready for my test in the future :)
+Buddy Wu happy to help! good luck to you
Thank you so much for this video!
Thank you, sir. It was a great explanation; clear and understandable. Please do more videos.