Geometric Mean Example problem similar triangle
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- čas přidán 14. 01. 2013
- In this is yet another example of geometric mean with similar triangles where a right triangle with an altitude is split into three similar triangles. Thanks to math site I used with the applet that shows the translations to create the three similar triangles.
Doesn't it suck that so many students are coming online to get math help because our teachers/curriculum/school system is incompetent
I don't think it shows incompetence. I see this as a tool that is helping students understand mathematics better than any generation of humans before. The students under the age of 20 should be some of the best mathematicians of all time. Imagine what could have happened if Ramanujan had youtube when he lived in India. I think it opens up access to high levels of math for students around the world..... It is awesome, and I hope to live to see some of the fruits of this labor. Thanks for the comment.
I completely agree with all you've said! The internet (specifically places like CZcams) are amazing resources for students, and I think it's great that we are lucky enough to have such things available to us. The point that I was trying to make was that it's a little sad to see so many people commenting that they weren't taught the concept(s) in a way they could understand in the first place. I realize now that my first statement was a bit general; sorry if there was confusion. But know I truly appreciate videos like this, thank you for posting them.
i just haven’t been paying attention bc i’ve been tired lol
My teacher just writes down on the board what he sees on the paper he's basing his lesson from, and just reads what he wrote without further explanation. ::((
They changed the curriculum to supposedly help the kids, but nobody is better. The teachers are worst, and the kids are dumber
I like how you're a better teacher than my geometry teacher at school...
Yea he is lol, I fell asleep so as usual my mom got contacted but I told her I'd learn it on my own so I wasn't behind. So know I got the sleep I needed and the info I needed.
Sameer!!
At least you have a geometery teacher. Mine quit so we did not have a teacher for half the school year plus some.
@Bryan Hernandez It really doesn't
@Bryan Hernandez a job wont necessarily have you find geometric mean. But I am a big believer that forcing your brain to work through this and learning the math terminology that allows you communicate your ideas to other humans is what is important. The only education that is important is what you teach yourself. Forced education doesn't work. Although learning more math never hurt anyone. And skipping school does.
I've spent the last 4 days sitting in geometry class with no idea what the hell my teacher was talking about... watch a 10 minute video and I understand it completely.
Glad I could help!
i have a midterm tomorrow thank you soo much for this post.
😂
Kyle Bloomquist DUDE SAME
u got it now?
You're a better teacher than my geometry teacher is. You taught in 10 minutes what it takes her to half-teach in about 35 minutes.
Deep Thought960 took me a lot of years to develop this method. Thanks for the comment. Best of luck
mines go too fast!
Diamond Jackson “Mines is not a word”
My test is tomorrow and I finally understand this. Thank you!
Omg! The way you taught this finally clicked in my head! I think that it helped that you broke it down. Before I just could not get it. Thank you so much!!
Do you pass?..
God bless this video!!! My geometry teacher taught us a totally different (hard/confusing) way, but this way is (1000000x) easier!! Thank you sooooo much for doing this!
my teacher has me confused, but you are getting me into this more, thank you. really.
After 15 videos this is the only one that made me understand THANK YOU
I watched every video on geometric mean and i didnt understand it understand until i watched this one
THIS HELPED SO MUCH! Please make more videos like this, you explain everything SO WELL!! :))
Thank you so much for this video!! I might actually get an a on my geometry test tomorrow!!
my shit teacher does not teach nicely thanks to the video
does your english teacher suck too?
RuSe LMAO
This is amazing! My teacher explained the 7/x=x/14 sort of thing, but he wasn't completely clear on how to get there with the triangles. Thank you!
Woah you enlightened me... I didn't get it until I saw the triangles separated like that... Thanks a lot
Thank god for a decent explanation of geometric means.
JESUS! THANK YOU FOR THIS VIDEO! everything makes sense now!! it all clicked in a matter of minutes into the video! compared to an hour lesson in class! you make my geometry teacher look bad! probably bc he is. THANK YOU
Thanks so much-After a lot of frustration I finally got it!!
This video just helped me understand the hardest area in geometry for me.
Made me learn and understand in 10 minutes what my actual teacher couldn't teach me in 2 hours. What an absolute chad
you can also solve it using euclid’s second theorem, because it says that a square built on the height relative to the hypotenuse is equal to a rectangle that has for sides the projection of the 2 sides on the hypotenuse, so you find x immediately by building the rectangle and extracting the square root, then you just do pythagorean theorem and you’re fine
This just saved my grade! I have a test tomorrow, and now I understand how to do the problems!!! Thank you so much!
this is so helpful!! thank u for posting:)
Got more useful information from this than my actual teacher so if u see this sir thank you so much
This video helped me out so much thank you
+1 subscriber! Thanks so much for this video, it really helped me fully understand what was being taught in my geometry class!! :)
so glad it was helpful!
Thank you! I have a math final tomorrow and knowing what to multiple always confusing me. The diagrams help greatly
Thank you so much!!! i'm not going to fail my first test! :D
Thnx ur teaching style is the best and super
Thank you ! You answer my questions !
When you learn the concept in 9 before 10 minutes from your test
You helped me more than my Teacher.
Great vid, thanks for the help!
Thanks so much. I have a test in a few days and I did not understand this. But now I do, thanks so much
why is this so much easier than what i was taught? it makes SO much more sense!!
glad I could help. I developed this method after finding out the method I learned doesn't work when teaching to most kids
working on a math test right now, didn’t understand a single thing in class. so glad i found this vid
You're welcome! I'm glad I could help!
Your legit a life saver that you so much!!!
Very helpful thank you very much
Thank you. Now imma past my math exam tmw
im just glad we can zoom up the lesson unlike in real life
Took my teacher 30 min to explain and I didn’t understand
After watch this video I completely understand
Thanks! Helped a lot!
Thank you Soooo muccchh
thanks broski, passing my test tomorrow
you explained this so good thank you!!!
Thanks!!!
thanks. saved me and 10000000 lives. god bless you.
Your welcome. Glad it had value for you:)
you awesome Mr ..it did help me...👍👍👍👍👍👍👍
5:15 does this method work for every problem? I’m pretty sure some people call it a “factor tree” if I use that every time on these kinds of problems will it always be right? I hope this makes sense, thanks for the great video!
Yes. It works as long as the triangle is a right triangle. Thanks for the comment and question.
@@danielschaben No problem! Thank you so much :)
Hiiii , I am from India ,your teaching is very well I hope I meet you thanks for teaching 😊🌠 love youhhh❤️🌹♥️🌹🌹
Thanks and welcome. Glad I could help
@@danielschaben ☺️🌹❤️😋
yeah u should make one. but this video was amazing. have my prelims next tuesday. atleast i would ace geometry. thank you!
My question is: (at 0:58-1:02) why has the smallest triangle taken out that way? Basically what is the concept behind interchanging the sides 'r' & 'H' ?
So useful
thanx it's really helpful
Thanks this helps alot!!
By geometry mean theorem you can directly reach to equation x square= 12*5, rest all we can solve with this value.
yo is this the same thing as mean proportional?? (Please respond soon my midterm is tomorrow for geometry honors lol).
Yes! sorry. Just logged in:(
Wasn’t here in class for this lesson thanks❤️
your welcome
thank you for simplifying the answer but I think there is a better method than the one which you gave you can say: x^2=12×5 then you will get the answer
Explain how you broke down 60 how did you know to use 3 and 20
Thanks for your help man🙏 didn't understand this
You're welcome. Glad it was helpful!
Thank you so much for this
You're so welcome!
I confused with the square rooting.. but this helped.
Thanks So Much!
glad I can help
When you find the height of the triangle, then you can calculate the area of that triangle. Please go forward and use Heron's farmula to recheck that all calculations are up to the mark. This has to be done at 8th standard world over.
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How did you know to use 30 * 20
جزاك الله خيرا thanks
Sorry, but whenever I hear you say root, I think röt.. :P great video tho, helped a lot :)
Very helpful thankyou
My teacher just started teaching us this then barley giving us hints instead giving us practice we did a test I screen screenshot my notes but its not helping I got frustrated when i fail first time I copy the correct answers because I can redo it ,soon I felt bad about cheating I really wanted to do it by myself so I came here u shade some light on I want to thank you.
Glad I was helpful!
Thanks bro👍
How did you get the 15 when you solved for x for the red triangle?
Nvm I’m stupid 🤦🏾♂️
Thank you =D
vertical line, X=square root of (5*12)
geometric mean. Yes
Thank you
Thank u so much
You are welcome
I don't know if u already answered this question or not, but how do yo check to make sure you got the right answer?
What I like to do is look at the triangle. Most in your textbooks are drawn to scale. Is the largest angle across from the largest side? In this video we are dealing with right triangles. You could use Pythagorean theorem to check you answer. I don't think I have had that question. Sorry it took 3 days to answer. But that is what I do. I mainly use triangle inequality theorem to check and the fact that I have literally solved thousands of triangles:)
For x where did you get the 15 from?
Mon Bon look up videos on how to simplify radicals. Here when you factor out 60 to its prime factors 5 and 3 are factors that do not make a perfect square.... so 15 stays in the radical.
thank you
your Welcome!
literally like I couldn't even get this whole entire concept with my online geometry class. My teacher won't help me either and won't respond to me..So thanks for the video. Also, I wonder how you would do this but with 2 measurements and x only, that's my assignment right now so.. ;-;
pythagorean theorem helps here as well. but send me problem. i am more than willing to make video
and thanks for comment
Plz tell me converse of geometric mean property
Ty
Whenever I ask a question to my geometry teacher, he will always say:" Well what does it say on the paper, read the instructions"
Like what the fuck?!
Anyways this video is really helpful and I wish you are my geometry professor :), have a nice day if you are reading this. :D
Thanks for the comment. and yes. I hated being taught like that.... so that is why I do it differently:)
My teacher made it look like its stephen hawking shit while this guy made it look like kindergarten math
You made my entire day😁 thank you
bruh I love you
Did I just learn more in 10 minutes than I did in 14 hours of school
Thanks for that. I hope so, It took me a lot to develop this method of finding geometric mean. Thanks for the comment!
This actually helps so much, I have a quiz tomorrow for geometry and this was the only aspect I didn’t fully understand
How do we know that the triangles are similar? Is it stated in the problem?
Angle angle similarly. I didn't go through the proof. There is a right angle and each of the triangles share the bottom left angle. I thought about putting that in there, but try to keep my bids under 12 minutes
how do you get 2 radical 15
so radical 60 has factors of 4 and 15. four is a perfect square with a square root of 2. 15 is not a perfect square and contains no perfect squares. . . so your final answer is 2squareroot(15)
dawg im still confused smh
Keep working at it. This is a tough concept. Dont give up on it.
im confused on the 3rd triangle how is 17 the hypotenuse when it looks like it could be the long leg
Cheyenne Henry I arrived at 17 by adding the 12 and 5
wow thank you
glad I could help
this only works with right triangles right?
Yes
@@danielschaben thank you for the quick reply
I'm having trouble putting it in terms of radicals
Look up videos. How to simplify radicals. Or how to simplify square roots. Both will probably give you pretty good videos on how to do it. I have one. It is a tough concept. Usually takes me 3 days to get everyone in my class on board with how to do it.
where did you get the 17??
The bottom/hypotenuse of the large triangle. Add 5 and 12 together. Thanks for the question.
I have a question, I was looking for like other geometric means things and in my textbook, it says find the geometric mean of 9 and 25 and I know how to do that. But the problem is that’s just the thing u need to learn and my teacher will be using it in the test but in a problem. My question is, why do we need to know how to find two numbers’ geometric mean
That is a tough question for me because I just teach this stuff, I often do not get to see the application of it in the world. I do know I have used it when finding the missing number between two numbers in a geometric sequence, and geometric sequences occur any time there is a interest applied to a loan or savings account. Any time there is exponential growth. Geo-metry literally means "Earth study" so geometric mean is just another term to add to your vocabulary if you need it to describe something on our planet to someone else. Numbers themselves are just adjectives describing a noun (5 fish, 6 pigs, …) so I just like the fact that learning it has just increased my vocabulary to describe the world. I know that is a crappy answer, and maybe someone out there will read this and give you a better one... but for now that is about all I can answer. If I have time I will do some research on it and get back to you. Thanks for the question. It has my mind working!
@@danielschaben No problem and actually pretty literal and good answer. Thank you
You done made this shit more confusing
where did you get 15 in the final answer
I think you mean when I found x and ended up with 2root15 as my final answer. This would be tough to explain in a couple of comments. Look up a video on simplifying radicals. Math BFF put out a good one. I have view on my channel. Get comfortable with simplifying radicals. Your progress in Trigonometry will hinge on that skill.
But how did you know all the angles were equal?
Great question. I did not prove that the three triangles are similar. It is a really great proof using the Angle angle similarity theorem. If you prove any two corresponding angles equal in a triangle, then you can say that the two triangles are similar. Look for angles shared between triangles and the right angles. This proves the triangles similar and angles congruent.
If my answer is 320, what would be its square root? Still 320??
The sqrt(320) is either 8sqrt(5) if you simplify the root. Or approximately 17.889
Why the 3rd triangle the hypotenuse is 17 not z ?
hyp is across from 90 degree angle on top