Ambiguous case law of sines two triangles SSA

👉 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.

Organized Videos:
✅ Law of Sines
✅ Determine 1, 2 or No Triangle
✅ Law of Sines | Learn About
✅ Law of Sines | ASA
✅ Law of Sines | AAS
✅ Law of Sines Ambiguous Case 2 Triangles
✅ Law of Sines Ambiguous Case 1 Triangle
✅ Law of Sines Ambiguous Case No Triangle
✅ Ambiguous Case Law of Sines | Learn About
✅ Find the Area of an Oblique Triangle SAS

Connect with me:

#analytictrig #brianmlogan

[jacopocongiu]

Brian: Explains in a smart, clear and concise manner without giving 200 problems


My Teachers: We don't do that around here

[vivianvasquez]

Thank you for the help. I guess you could say this saved my SSA for the test tomorrow.

[broskyification]

Mckenzie in the background is my spirit animal. So lost and scared

[DynamiteGaming-lwzo]

BRIAN MCLOGAN YOU SAVED MY LIFE I'VE BEEN TRYING TO FIGURE THIS OUT FOR THE PAST 100 MILLION YEARS

[basedmangoes]

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. :)

[darthgamerONcoke]

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.

[TimmyTheCool]

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.

[thatfamily]

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.

[wrl]

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.

[vch]

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!

[kellywyatt]

This helped SO much, why can't all math teachers explain it so simply?

[vaingloriouscadenza]

That door hinge example was genius! I was so confused but that metaphor really cleared it up.

[xanderfetterman]

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.

[HeizPlays]

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.

[cosmicpsyops]

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.

[AbbyPaul-wpqz]

THANK YOU for explaining why!!! My math teacher gave us the equations and i could get the right answers but i never understood why (my math teacher would just say “i gave u the equations lahhh… you did it right and i prove it on board” and this helped!

[youssefmostafa]

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

[johnjames]

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

[noahwinson]

Mr.Mclogan, you dont know how easy you put this concept in my brain, thank you sir!!! All the best

[justinbrown]

Brian: I am teaching my math class for the first time today thank you for explaining the lesson to me your an inspiration to