30-60-90 Special Right Triangles

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Learn how to solve for the sides in a 30-60-90 Special Right Triangle in this free math video tutorial by Mario's Math Tutoring.
0:09 What are the Ratios of the Sides in a 30-60-90 Triangle
0:57 Review of How to Find the Missing Sides Given a Side
1:25 Example 1
1:45 Example 2
2:01 Example 3
2:22 Example 4
2:55 Example 5
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10 сен 2024

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Комментарии : 153

@MariosMathTutoring 5 лет назад

Like this video? Check out the one I did on 45-45-90 triangles here: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-nQEqpVK7ZPA.html

@Cozmc_Myth 3 года назад

@Mario's Math Tutoring thanks

@arianaveil 5 лет назад

Khan Academy will never get this good! Mario needs more subscribers and I’ll say it over and over again for every video I watch!

@MariosMathTutoring 5 лет назад

Thanks for your positive feedback Ariana! I’m so glad you like my videos and that they are helping you!

@evilyncraft3592 4 года назад

Bro this man.. this helped me so much wth. Bruh 45 minutes in a classroom isn't worth anything but a 3 minute video. Thank you so much !

@MariosMathTutoring 4 года назад

You’re welcome! Glad my video helped you so quickly!

@sam83af61 5 лет назад

Subscribed. My teachers methods are too abstract for me, I need cold hard facts exactly how you present them. Thank you!

@MariosMathTutoring 5 лет назад

You’re welcome Sammy! Glad my videos are helping you and welcome to the channel!

@Video-Games-Are-Fun 3 года назад

and this guy doesn't waste time with garbage instagram quackety music or an intro about who he is, where he is from blah blah blah. THIS is how instruction should be done. we aren't here to be his friend. we wanna get the content and move on.

@TrillCeyo 3 года назад

@@Video-Games-Are-Fun 😂fax

@Fit4C Год назад

Jesus loves you alot trust in His death 4 salvation and be saved from eternal hell

@chromiumman8453 3 года назад

Genuinely the best explanation I'd seen in a very long time. Makes SO much more sense than what I got taught in class. Thank you so much!

@CookiehsAndDreams 2 года назад

This man just explained in 3 minutes what it's taken me like- 2 hours to learn.

@hiccup1890 2 года назад

nice pfp

@sociallyawkwardself971 6 лет назад

I was struggling on how to figure out when to divide by square root of 3 and so on but now I understand! Thanks for this helpful video!

@MariosMathTutoring 6 лет назад

+Nguyen your welcome! Glad my video helped you!

@michellefernandez3643 6 лет назад

Army💖💕😄

@vaesori 12 дней назад

YOU JUST SAVED MY GRADE THANK YOU!

@MariosMathTutoring 12 дней назад

You’re welcome!

@future2228 5 лет назад

Thank you! Very simple explanation. I tend to get confused when there’s a lot of explaining.

@MariosMathTutoring 5 лет назад

Glad my video helped you!

@doublemanok6569 5 лет назад

Thanks with you're teaching I can now answer my homework because my teacher teaching methods are the not good that I can't even understand the subject this day

@MariosMathTutoring 5 лет назад

Glad my videos are helping you with your homework.

@novamzgc 3 года назад

Thank you! I was having trouble with these concepts, and the way you teach them they make more sense. Since the videos are short, I can focus on them, compared to in class, where I lose my focus easily. You are doing great at teaching, so please make more videos! They will continue to help me in the future.

@marmtz7024 4 года назад

This really helped me, especially since we’re in quarantine and my school hasn’t gotten our online classes ready

@MariosMathTutoring 4 года назад

Glad my video helped you during this time!

@anferneejoshpagaling9829 3 года назад

It took me a full length of 3 minutes and 18 seconds to understand a whole week coverage of 30 - 60 - 90 Special Right Triangles and one thing that I have notice is that more people should subscribe to your channel because it is worth it

@Encino 2 года назад

I spent days in the classroom trying to understand my teachers abstract and another 40 mins on khan academy trying to understand how to work with radicals. This and the 45-45-90 video explained it in under 5 minutes! Thanks so much.

@gabriellegremoryv6002 6 лет назад

I never comment on videos, but this has been a really helpful math lesson ;3 Thx

@MariosMathTutoring 6 лет назад

Your welcome! Glad my video helped you Gabriel!

@lilyoselyne1484 Год назад

I have been asking my teacher how to solve it since I already know the equation and she just kept telling me to use the equation, I’m SO glad that I found this video when it was so easy to explain

@joeymoeyfoey 3 года назад

I cannot thank you enough man! Keep doing what you're doing, you helped me so much today.

@_ttoottaa 2 года назад

You helped save my grade for my finals!! Thank you so much!

@FlexLife360 7 месяцев назад

This is the best explanation of special right triangles. I go to a tutoring session and they still can't explain me it this well. THANK YOU SO MUCH!

@MariosMathTutoring 7 месяцев назад

Glad it helped!

@aimenkamal1150 2 года назад

I was super confused until i found this video all my doubts are clear now. :)

@Itgoesdeluxe 5 месяцев назад

God i wish i had you when i was a kid, but my kid loves your tutorials theyre so direct and to the point

@MariosMathTutoring 5 месяцев назад

Glad they are helping your child.

@stevejoe141 2 года назад

Mate, you always provide the goods. Whenever I’m stuck, I come to your channel and search for a video on the topic I’m struggling with. Thanks 🙏🏼

@faith9637 3 года назад

I had absolutely no idea how to do this before I watched this video and now it makes a lot of sense

@marcelleayal6019 2 года назад

Wow wow wow. I didn’t understand for weeks this 3 minute video helped me a lot. Thank youuuu

@mr.vskitchen902 2 года назад

I am re-learning properly now. Thank you.

@carolinerae3322 3 года назад

I understand this so much better now that i have watched this video. I have a test tomorrow with 30 60 90 triangles in it and you just saved my grade. THANK YOU

@cumarcarafad2748 2 года назад

Lol wanna date😏🥲

@jackiereyesramirez7909 3 года назад

Made things so much more easier thank you :))

@monkeypngs554 3 года назад

im genuinely so thankful for this video, for the first time in my trigonometry unit, i actually passed my assignment with a B, thank you for what you’re doing. im forever grateful and just subscribed.

@sweetbook5906 5 лет назад

ur a life saver thank you sooo much, my teacher didnt teach this to us yet but she gave us the hw so I needed this

@MariosMathTutoring 5 лет назад

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

@alectro2505 3 года назад

Online learning has been hard but this is brilliant. Learned more here than I did in a one-hour geometry class.

@edwinniemandt1995 4 года назад

Thanks so much, your explaining is very easy to understand and you don't skip over any details. Subscribed!

@MariosMathTutoring 4 года назад

Welcome to the channel Edwin!

@gamehub2641 4 года назад

This helps a lottt. I was solving some problems when I came across this trick. I noticed after 2 problems I was working on. I've seen this trick before, but I couldn't refresh my brain on everything I remembered until I did a Google search and came across this video. Thank you so much for refreshing this back into my mind!

@MariosMathTutoring 4 года назад

You’re welcome! Glad my video helped you!

@orangetrooper7177 3 года назад

You are a legend. I was super confused about this at first but after this, I have no problem!!

@MooMooMath 7 лет назад

Great information. The video is worthy of more views I will share this with my students.

@MariosMathTutoring 7 лет назад

+MooMoo Math and Science thank you for the compliment and thank you for sharing it with your students.

@MooMooMath 7 лет назад

Welcome and I will put a link to your channel on my blog. Have a great 2017

@MariosMathTutoring 7 лет назад

+MooMoo Math and Science thank you that is very nice of you. Happy New Year!

@nikoortiz4825 Год назад

I GOT A 85 ON THE TEST LETS GOOOOO THANK YOU

@saffire704 3 месяца назад

Wow that was actually a lot more helpful

@isaiahvenegas7230 2 года назад

A whole week of practice merged into just 3:18 minutes…….phenomenal

@vincentjennings8543 2 года назад

Thanks for being better than my math teacher

@pranaytony8473 2 года назад

Your videos are very helpful, Thanks for your best explaination.

@yoimiyafan2787 2 года назад

You actually saved me from my test I was absent for a week so thank you

@Ivi093_l 2 года назад

Thank you so much definitely help me out so much

@adna300 4 года назад

i wish i could just on zoom with him and help me with my math!

@jaytubing607 3 года назад

Yeah, that would be helpful

@optionf4 3 года назад

Thanks so much, all these teaching , methods are so complex, but you were able to deliver properly in 3 mnutes! tysm :D

@perthfect9571 4 года назад

THANK YOU SO MUCH I HAVE A QUIZ OVER THIS TOMORROW AND I UNDERSTOOD NOTHING TILL THIS VIDEO

@MariosMathTutoring 4 года назад

Glad my video helped you DDAENG!

@thinkyeah5834 3 года назад

This really helped me for my exams thank you brother for showing me how to solve special right triangles

@Video-Games-Are-Fun 3 года назад

thank you for NOT putting stupid background music or telling us your name or who you are. we do NOT care. we are here for the MATERIAL itself. this is how instruction should be done. just teach the content knowledge and skillset required and end it. we don't want any other garbage filler in these videos!

@jpcytus5959 5 лет назад

Normally I would complain, it being short and going quick, but I somehow understood. Even the dividing square root, along with what the angles actually mean. Thank you

@MariosMathTutoring 5 лет назад

You’re welcome Corona! Glad the video helped you!

@canaksut311 4 года назад

Heyy, i would like to say thank you extremely much! You saved my life. LOVE YOUR VIDEO ITS SO CLEAR

@guest971 4 года назад

thank god, khan academy explanation was all over the place. ill finally be able to finish my hm, thank you

@MariosMathTutoring 4 года назад

You’re welcome!

@itsvoidarchive 3 года назад

this is sooooo easssssy to understand!!! thank you!!!

@dylxngaming 11 месяцев назад

absolute legend

@yahgent 2 года назад

my teacher took 2 classes (3 hours) to explain this without me understanding, I feel stupid after watching this 3 minute video and understanding it. Maybe this says something about my teacher...

@iamthenight3980 3 года назад

OMG ! Thank you ! You really clear things up

@evac181 Год назад

This video is so helpful, thank you!!!

@braveknight5462 4 года назад

Thank you so much my teacher just confused me for like 2 hours and u just teached me that in 3min wow.

@MariosMathTutoring 4 года назад

Glad my video helped you so quickly!

@brianjeff7564 Год назад

Thank you so much

@jwester013 2 года назад

Thanks Mario! Much help :)

@andydong9271 4 года назад

Bruh life saver

@MariosMathTutoring 4 года назад

Glad my video helped you Andy!

@rauology 4 года назад

thank u so much mario. great tutorial and very informative. i completely understand now

@MariosMathTutoring 4 года назад

Awesome! Glad my video helped you!

@sjsjsjsjs8655 3 года назад

Thanks a lot sir, you made it easy for me

@adamyacoub5687 7 месяцев назад

Thank you.

@MariosMathTutoring 7 месяцев назад

You're welcome!

@kimberly1659 3 года назад

Thank you sir

@donmichaelalbania6209 Год назад

What if the longer leg is 7nand i divide by 3 doing the process but i end up with a decimal is it a right answer ??

@MacMcLinn 3 года назад

These videos are great!

@anjohannan3713 3 года назад

My hero

@romeoduarte7972 3 года назад

Great explanation I understood nothing when my teacher did this

@nikoortiz4825 Год назад

thank you man you helped me -9th grader

@DR-qn9cn 3 года назад

He taught me this in two minutes and my teacher took 30

@Polviz 3 года назад

Thanks for the help!

@zakriakhan5594 5 лет назад

Thank you

@MariosMathTutoring 5 лет назад

You’re welcome Zakria!

@hi-ib6es 3 года назад

wow this was super helpful!!! thank youuu!! :D

@welcomeinside.7932 4 года назад

thank u mario

@MariosMathTutoring 4 года назад

You’re welcome!

@fierrza1845 4 года назад

Thanks man made this simple

@MariosMathTutoring 4 года назад

You’re welcome!

@user-kp6ud7ht4z 3 года назад

@ 0:47 , you talk about “if they give you this side,” without ever going back to mentioning “if they give you this angle.” Why?

@carultch 2 года назад

In this lesson, it is assumed that you are given enough angles to know that it is a 30-60-90 right triangle. You do have to be given at least 3 parameters to uniquely identify any specific triangle. There are certain combinations where 3 parameters is all that you need, which are angle-side-angle, angle-angle-side, side-angle-side, and hypotenuse-leg when you know it is a right triangle. There are other combinations which are still ambiguous, which are angle-angle-angle, and angle-side-side. AAA is obvious because there is no side to specify scale. But why is there no ASS theorem of triangle congruence? It is just a coincidence that it has the same name as a bad word (unless you are British and it just means donkey to you). As an example, consider a 30 degree angle, a 8 cm side, and suppose the next side is 4 cm. You can make a triangle from these specs, but you can also make a second triangle. You can make a triangle whose third side is 3.928 cm, and a second triangle whose third side is 9.928 cm. Draw it to scale to see what I mean.

@ashlynnspulak954 5 лет назад

Omg thank you. I’m gonna pass my geometry test now!😂

@MariosMathTutoring 5 лет назад

You’re welcome Ashlynn! Good luck on your test!

@qmuney 5 лет назад

Ashlynn Spulak 3 weeks later did you pass?😂

@ashlynnspulak954 5 лет назад

LitGaming 190 heck ya!! With a B!😂

@rudyg9044 2 года назад

for the one with the long side as 9 i don’t understand how you got 3 -/3 please help

@carultch 2 года назад

Start with x, x*sqrt(3), and 2*x as the three sides of this triangle. Given that the longest side, 2*x = 9, solve for x, and find the others: Shortest side: x = 9/2 Intermediate side: x*sqrt(3) = 9/2*sqrt(3) And the longest side was given.

@bigbird6873 4 года назад

Amazing job!

@MariosMathTutoring 4 года назад

Glad you liked the video!

@NoName-ot8kl 7 лет назад

I don't know how to solve when the line that goes straight down the middle of the triangle is a whole number instead of in the form of "x square root of 3"

@BarrisShao 5 лет назад

My high school Geometry teacher sang the "Gilligan's Island" theme as a mnemonic to remember the sides and ratios. 30-60-90 sides are 1, √3, and 2 And if you know the shortest side The others follow too The others follow too

@MariosMathTutoring 5 лет назад

That sounds like a fun way to remember the ratios Barris! I haven’t heard that one before.

@WATERMEL0NLIPSTICK 9 месяцев назад

thank u :]

@MariosMathTutoring 9 месяцев назад

You're welcome!

@stefhanymarcos2743 5 лет назад

Thanks!

@MariosMathTutoring 5 лет назад

You’re welcome!

@eggrolleater9382 5 лет назад

Thank You!!

@MariosMathTutoring 5 лет назад

You’re welcome!

@xxtrillerxx1558 3 года назад

What if when you radical they don’t reduce

@legion4698 3 года назад

Mario is a chad

@3me_sx810 3 года назад

What do I do if they give a 17 for the 60 degree one to solve the other two??

@carultch 2 года назад

I assume by "the 60 degree one", you mean the side length opposite the 60 degrees. In that case, set up the sides as x, x*sqrt(3), and 2*x. We are given that the x*sqrt(3) side is equal to 17 units, so make the following equation: 17 = x*sqrt(3) Solve for x: x = 17/sqrt(3) Rationalize the denominator (as mathematicians prefer) by multiplying by 1 in a fancy way: 1 = sqrt(3)/sqrt(3) x = 17/sqrt(3) * sqrt(3)/sqrt(3) x = 17*sqrt(3)/3 We cannot simplify it any further, but this will tell you that the three sides are: 17*sqrt(3)/3, 17, and 34*sqrt(3)/3

@emilydebonnaire2511 3 года назад

thank you, i passed my test after watching this video

@jaydencastro5572 4 месяца назад

I know im 8 yrs late but does anyone know what to do when its just the 6 and no sqaure root?

@MariosMathTutoring 4 месяца назад

Solving 45 45 90 and 30 60 90 Special Right Triangles (Lots of Examples) ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Y_qs4cgxbgs.html

@cotescoins9614 3 года назад

question, what if the long leg has a square root of 2 in it?

@carultch 2 года назад

Then you end up with a sqrt(2) in all three terms, because it cannot reduce any further than that. For instance, given that the longer side is 4*sqrt(2). That is what 2*x equals. Solve for x to get the short side, and we get: x = 2*sqrt(2) Apply x*sqrt(3) to get the side opposite the 60 degree angle: x*sqrt(3) = 2*sqrt(2)*sqrt(3) Group the terms under the radical, if you choose: x*sqrt(3) = 2*sqrt(6) And that is our answers: 2*sqrt(2), 2*sqrt(6), and 4*sqrt(2)

@julissasalazar8443 4 года назад

where does square root of 3 come from?

@MariosMathTutoring 4 года назад

Julissa, take an equilateral triangle...which is thus equiangular...which means all the angles are 60 degrees. Label all the sides 2x...Then drop an altitude which bisects one of the angles as well as the base. Then use the Pythagorean theorem and you will find the altitude. This should illustrate for you where the square root of 3 comes from.