Ambiguous Case Law of Sines

Рет қаралды 191,319

8 жыл бұрын

Learn how to solve a triangle using the law of sines when it is the ambiguous SSA case in this free math video tutorial by Mario's Math Tutoring.
0:55 How to Drop an Altitude to Analyze the Triangle
1:07 Solving for the Height Using Sine
1:36 sSa Condition
2:13 Showing How the Side Opposite the Angle Can be Rotated
2:45 How to Know How Many Triangles are Possible
3:30 Splitting Up the Diagram Into 2 Possible Triangles and Solving
Related Videos:
Law of Sines
• Law of Sines (Trigonom...
Law of Cosines
• Law of Cosines
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Пікірлер: 143

@MariosMathTutoring 5 жыл бұрын

See more on this topic by watching this other video I did on the SSA ambiguous condition: kzfaq.info/get/bejne/m9Kqjbp2l5-bh5c.html

@AndrewYatzkan 5 жыл бұрын

but what's the main thing he wants to?

@joebream5526 4 жыл бұрын

Andrew depends on the question, most likely to find all angle measures and side lengths

@alncrts4936 Жыл бұрын

The main thing he wants to do is

@gratedbutter4329 2 жыл бұрын

this video was actually so concise and it helped me visualise and understand WHY there is an ambiguous case. thanks man

@levirosner1728 2 жыл бұрын

I've been really confused about the ambiguous case for so long and this really helped me understand how and why it is the way it is. Thank you so much!

@TooWongCool 6 жыл бұрын

I've watched a bunch of different Law of Sines clips to help with studying, and you are the only one to bring up the isosceles triangle theorem. That theorem is what I needed a refresher on to understand which angle, on the case two triangle, gets subtracted from 180 to find correctly find all the case two triangles. Thanks!

@MariosMathTutoring 6 жыл бұрын

You’re welcome David! Glad my video was able to help you!

@aryanruparel4257 3 жыл бұрын

This is AMAZING. I literally watched video with animation before this, and they didn't know how to teach. This guys sticks to the whiteboard and is so good at teaching. Thanks so much!

@azurev2258 Жыл бұрын

You just taught me in five minutes what my math teacher failed to teach in three classes, huge help

@AlexBaillie 6 жыл бұрын

Thanks so much for this video! I have a test tomorrow, and this is the only good video on KZfaq about this!

@MariosMathTutoring 6 жыл бұрын

+Alex Baillie great! I’m glad my video is helping you. Thanks for commenting. Good luck on your test!

@AlexBaillie 6 жыл бұрын

Thanks Mario!

@abdurkhan6075 6 жыл бұрын

same situation here and thnx

@MariosMathTutoring 6 жыл бұрын

Your welcome! Glad my video helped you!

@filthycockatoo2954 2 жыл бұрын

How did it go?

@ananyapal2458 2 жыл бұрын

idk why MY math teacher overcomplicated this lesson and didn't just teach it like this! Never underestimate math videos from 5 years ago!!

@enjoyablecheddar6882 4 жыл бұрын

this is two years later but thank you so much for explaining it so easily. It was such an intuitive explanation and I understood it the first time. Thank you Mario!

@MariosMathTutoring 4 жыл бұрын

You’re welcome! Glad you liked my explanation!

@mustafaassal 5 жыл бұрын

I love you so much Mario. Ur a total legend. Thanks you

@MariosMathTutoring 5 жыл бұрын

Glad you like my videos and channel Mustafa!

@nazirulafif1857 2 жыл бұрын

Thank you so much Mario. You really helped me a lot in Pre-Calculus.

@turtles38x19 3 жыл бұрын

damn...huge epiphany / mind blown when you drew that circle thanks!!!

@adiliraliyev5882 3 жыл бұрын

Thx, helped me alot, was breaking my head over how can you have 2 triangles with same h

@alaukip4130 6 жыл бұрын

I love this video!! My math final for sophomore year is in 2 days and this really cleared up my confusion on this topic, thank you so much! I always go to your videos for math help. Keep making more videos, you're awesome!!👍🏼👍🏼

@MariosMathTutoring 6 жыл бұрын

Thanks Alauki! Good luck on your math final! Report back and let us all know how you did if you want. Glad my videos and channel are helping you!

@filthycockatoo2954 2 жыл бұрын

How did the math final go?

@shenerhasan5421 2 жыл бұрын

we're all waiting

@alliep6999 2 жыл бұрын

@@MariosMathTutoring I am now in my sophomore year of COLLEGE! time flies!! it's hilarious to see people commenting on this still. I will say though that according to my transcript, I got an A in the class that year. Since then, I went on to complete the entire calculus series in my first year of college with great grades. Just goes to show that it's possible to progress even if you're struggling. keep doing what you're doing, you're appreciated!

@alowrn 8 ай бұрын

@@alliep6999that’s amazing congrats!! how r u doing now

@bobbylook6076 3 жыл бұрын

This really helps guy. If you are precalculus this will help you in ssa unit. Thank you for the video it help a lot.

@benpoulos7015 3 жыл бұрын

mans is life saver🙏🏽 made this so much easier to understand. thank you so much

@katiegriffith9935 6 жыл бұрын

Thank you so much! This was so clear and helpful!!

@MariosMathTutoring 6 жыл бұрын

You’re welcome Katie! Glad my video helped you!

@user-lb7rc6tm9g Ай бұрын

Say h

@Icemocha27 3 жыл бұрын

Thanks a million for explaining this step-by-step!!!!

@rileydevitt7596 4 жыл бұрын

Thank you so much for the help in this subject!!!! It makes a lot more sense now

@MariosMathTutoring 4 жыл бұрын

You’re welcome!

@merutshankar1158 5 жыл бұрын

Bless you and your family. Thank you so much for this

@MariosMathTutoring 5 жыл бұрын

You’re welcome Merut! Glad my video helped you!

@dr.derplols8312 Жыл бұрын

Thank you so much!

@yashb2997 3 жыл бұрын

Thanks a lot for such a great video!

@vihanv8582 6 жыл бұрын

Thank You SO Much! This method is so much easier than other methods! I have a test coming up and this video helped me alot!

@MariosMathTutoring 6 жыл бұрын

Your welcome! Glad my video was able to help you. Good luck on your test!

@matthew8780 5 жыл бұрын

Very helpful, thank you

@ruirui4087 Жыл бұрын

THANK YOU SO MUCH!!!!!!!!!

@daniellin8088 3 жыл бұрын

so grateful for people like you Mr. McLogan. thank you so much

@chendusingh 3 жыл бұрын

wrong channel lol

@hojosa4592 2 жыл бұрын

hi sir great video quick question could we also use the cosine rule to work out missing lengths for this case as we have cos(30) and values for a and b?

@andrearueda2062 2 жыл бұрын

cannot thank you enough for this!

@nico-rd6lp 2 жыл бұрын

this is amazing thank you

@vincentha7123 2 жыл бұрын

thank you so much!

@yipyiphooray339 4 жыл бұрын

Helllooooo I loveee your video, I can see why my teacher told us to watch this. I'm still curious as to what the main thing u wanted us to know though 😆

@user-oy1vd8dm6w 7 ай бұрын

I was really confused on this part of the precalc unit. You completely cleared it up for me. Thanks you so much sir.

@MariosMathTutoring 7 ай бұрын

Happy to help

@adefela 3 жыл бұрын

Thank you very much!

@sweetstuff636 6 жыл бұрын

This was very helpful thank you!!

@MariosMathTutoring 6 жыл бұрын

Your welcome Nicole! Glad it helped!

@SW-nx4jz 5 жыл бұрын

This video was so helpful omg! Thnx you!!!!

@MariosMathTutoring 5 жыл бұрын

Glad my video helped you!

@aidenackerman3657 2 жыл бұрын

So for a 2 triangle case the other ambiguous angle would need to be greater than the give angle in one case and leave enough room for the given angle in another case?

@TrazBurger 3 жыл бұрын

Math final tomorrow, thank you so much

@beedlejeedle 5 жыл бұрын

Thank you so much! Just learned this today and I have a quiz tomorrow, you're a life saver

@MariosMathTutoring 5 жыл бұрын

You’re welcome Carol! Good luck on your quiz! Report back if you want and let us all know how you did.

@omseif 4 жыл бұрын

My son is having a unit test , and u r the best who explained this on you tube!👏👏 I'll make sure he watches this! I am sure he will be a fan from now on! Big Thanks!!!👍😊

@MariosMathTutoring 4 жыл бұрын

You’re welcome! Glad you liked the video!

@provokingpickles1108 5 жыл бұрын

Bruh this is so clutch, my math teacher explained this kinda weirdly but this makes so much sense. Thanks man 👍

@MariosMathTutoring 5 жыл бұрын

You’re welcome! Glad my video on the ambiguous case helped you understand it better.

@provokingpickles1108 5 жыл бұрын

Got a 93 on the test!!!! Thanks Mario 😎

@arisbarsekhian8105 6 жыл бұрын

Thank you so much.

@MariosMathTutoring 6 жыл бұрын

+Aris Barsekhian your welcome

@lionelpham7232 2 ай бұрын

Mario the GOAT

@syntaxerror831 4 жыл бұрын

Thank you for your very well done video explaining this topic in such an understandable way. Learning has proven tricky during this COVID-19 pandemic and this video truly has helped fill some gaps.

@MariosMathTutoring 4 жыл бұрын

Glad my video helped you!

@mateosabio2857 5 жыл бұрын

THANK YOU !!!!

@MariosMathTutoring 5 жыл бұрын

You’re welcome Mateo!

@justchloe4753 4 жыл бұрын

Thank you so much for this video, I actually understand ambiguous triangles now lol

@MariosMathTutoring 4 жыл бұрын

Glad you liked my ambiguous triangle video Chloe!

@arishali5975 6 жыл бұрын

thank you so much!!!!!!!!!!!!!!

@MariosMathTutoring 6 жыл бұрын

Your welcome! Glad my video helped you!

@pakchannel2231 5 жыл бұрын

Thank youuu!

@MariosMathTutoring 5 жыл бұрын

You’re welcome! Glad my video helped you!

@Girlbeatrice 4 жыл бұрын

Thank you!

@MariosMathTutoring 4 жыл бұрын

You’re welcome Beatrice!

@edsonlima6412 6 жыл бұрын

Thanks a lot.

@MariosMathTutoring 6 жыл бұрын

Your welcome Edson!

@wendymarshall2132 6 жыл бұрын

Thanks!

@MariosMathTutoring 6 жыл бұрын

+Wendy Marshall your welcome

@dr.stevephil6700 5 жыл бұрын

das prty dope thunks

@jamesberry8198 2 жыл бұрын

Thank you! I am supposed to teach this in 5 hours and haven't done it myself since 8th grade haha

@ellaveysel1041 4 жыл бұрын

Ah! Math midterm tomorrow and this is going to save me!

@MariosMathTutoring 4 жыл бұрын

Glad my ambiguous case for the law of sines video is helping you Ella!

@findo9615 6 жыл бұрын

Woah. That makes a lot of sense. I gotta big unit test tommorow, thanks for this.

@MariosMathTutoring 6 жыл бұрын

+Fin Do your welcome! Good luck on your test!

@benjaminhoang5757 5 жыл бұрын

amazing vid dude

@MariosMathTutoring 5 жыл бұрын

Glad you liked the video Benjamin!

@hamidgul7224 5 жыл бұрын

thanks!

@MariosMathTutoring 5 жыл бұрын

You’re welcome Hamid!

@JohnBrown-dx8kp 5 жыл бұрын

actually a lifesaver. guess like I'm not failing math this semester!

@MariosMathTutoring 5 жыл бұрын

Glad my video helped you John!

@Fadic4 6 жыл бұрын

thank you so much this helped a lotttttt

@MariosMathTutoring 6 жыл бұрын

+Fadic 4 your welcome. Glad my video helped you.

@Fadic4 6 жыл бұрын

if they give you b = 22, c = 32, B = 26° how do you know how many solutions you have because i cant figure out the height if i were to draw a perpendicular line

@MariosMathTutoring 6 жыл бұрын

+Fadic 4 draw the altitude(and find its length) from vertex A perpendicular to side BC then analyze the number of solutions from there.

@Gcoff4 5 жыл бұрын

Tricky topic, but good video

@MariosMathTutoring 5 жыл бұрын

Glad you liked the video!

@sarahle7160 3 жыл бұрын

Why does the second triangle have the same side as the big triange ?

@picaa 11 ай бұрын

explained it better then Brian McLogan

@vincecastillo4962 4 жыл бұрын

1:55 is the important part in my opinion

@azizkash286 5 жыл бұрын

Legend

@MariosMathTutoring 5 жыл бұрын

Thanks Aziz! Glad you like my videos and channel!

@potatotree7143 Жыл бұрын

:) thanks

@MariosMathTutoring Жыл бұрын

You're welcome!

@liviousgameplay1755 3 жыл бұрын

"If you are describing the angle first then the two sides, why not write it from left to right?" *Writes the condition form left to right* "Oh. Nevermind." Banter aside, great video. I understand this much better now!

@samdarnold3563 4 жыл бұрын

Hi Mario. Just a quick question. If the side b is equal to side a, is there 1 or 2 triangles?

@MariosMathTutoring 4 жыл бұрын

If I understand you correctly Sam and you are given SSA and the two sides are the same then the triangle would be isosceles and there would be just one triangle possible.

@samdarnold3563 4 жыл бұрын

@@MariosMathTutoring Thank you! You understood exactly what I was asking. I really enjoy your videos and I'll share you channel with all my classmates.

@hongningsuen1348 Жыл бұрын

A complete explanation of ambiguous SSA should include obtuse angle A. For acute angle A, SSA is not ambiguous congruence test when A is a right angle (actually the congruence test RHS) and when side S opposite angle A is the longer side (true for obtuse angle A as well) leading to one valid acute angle answer (angle of sine function in quadrant I) and one invalid obtuse angle answer (angle of same sine function in quadrant II). The invalid obtuse angle actually is in a triangle formed by the two given S's and an opposite extension of the third side. Hence SSA is not always ambiguous and is perfectly a valid congruence test when A is a right angle or S opposite to A is the longer side.

@mitchlaber7723 Жыл бұрын

Try Trisolve

@nathan2035 5 жыл бұрын

Why do we need to solve for height though?

@MariosMathTutoring 5 жыл бұрын

It’s to help you determine the number of triangles that can be made.

@nathan2035 5 жыл бұрын

@@MariosMathTutoring Oh okay thank you! By the way your videos are great keep it up!

@MariosMathTutoring 5 жыл бұрын

Thanks Nathan! Glad you are liking my videos...new videos released weekly...so more are on the way...

@michaelwilmarth7816 2 жыл бұрын

damn the noise that marker made when he first twisted the cap off.... u know that mug a virgin

@simpleman283 5 ай бұрын

👍👍

@vedpatel8365 2 жыл бұрын

😃

@bambiii787 Жыл бұрын

So if you don’t have two triangles then you can’t do it?

@___xyz___ 4 жыл бұрын

5:10

@jaywankhede3426 3 жыл бұрын

Alright 4 years later does he reply....

@mikebarlow3253 3 ай бұрын

I’m confused how a triangle could be 1 triangle 2 triangles or none. How can a triangle be more than one triangle?

@MariosMathTutoring 3 ай бұрын

Since the information given about the triangle is limited it could possibly be constructed in more than one way or may not be possible at all…that is what this video shows….

@cejuvlogs9766 3 жыл бұрын

"But without faith it is impossible to please him : for he that cometh to God must believe that he is, and that he is a rewarder of them that diligently seek him." Hebrews 11:6 KJV