Incenter, Circumcenter, Orthocenter & Centroid of a Triangle - Geometry

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This geometry video tutorial explains how to identify the location of the incenter, circumcenter, orthocenter and centroid of a triangle. The incenter can be found be drawing the 3 angle bisectors of a triangle and identifying the point of intersection. The incenter always lie inside of a triangle. The incenter is the center of the circle that is inscribed in a triangle. The location of the centroid of a triangle can be identified by the intersection of the three medians. The orthocenter of a triangle can be located by finding the intersection of the three altitudes of a triangle. For an acute triangle, the orthocenter lies inside of the triangle. For a right triangle, it lies on the right triangle. For an obtuse triangle, the orthocenter lies outside of the triangle. The circumcenter of a triangle can be found by the intersection of the three perpendicular bisectors. The circumcenter is the center of the circle that is circumscribed about the triangle.
Circles - Area, Circumference, Radius:
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Circles - Chords, Radius, & Diameter:
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Lines, Rays, Line Segments, & Angles:
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2 Column Proofs - Cong. Segments:
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Triangle Congruence - SSS, SAS, ASA:
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Central Angles and Circle Arcs:
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Tangent Lines and Secant Lines:
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Circles - Central and Inscribed Angles:
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Tangent Tangent Angle Theorems:
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Inscribed and Circumscribed Polygons:
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Power Theorems - Chords, Secants, & Tangents:
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Circle Theorems:
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Two Column Proofs With Circles:
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Circles Review - Geometry:
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Distance Between Point and Line in 2D & 3D:
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Area of a Triangle With Vertices:
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Опубликовано:

11 сен 2024

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Комментарии : 243

@TheOrganicChemistryTutor 7 месяцев назад

Final Exams and Video Playlists: www.video-tutor.net/

@skyguy7994 5 лет назад

Bruh 5 minutes in I already understand more than 50 minutes in my geometry class

@rickyalvarez8761 5 лет назад

Ik it’s bullshit man fuck the school system

@hela_helio 5 лет назад

@@rickyalvarez8761 Fr tho

@burningblackknight8237 4 года назад

Ikr

@isaiah4tone 3 года назад

hi i like star wars

@zingozingozingo 2 года назад

Fax

@carterfield1355 4 года назад

this guy just explained 2 classes worth of math in 17 minutes

@jedidiahakash6417 4 года назад

It is indeed 17min

@ggbearair4630 3 года назад

My teacher does this in an hour or more

@zarifpious7046 2 года назад

@@sanowarmasum5350 bro u misunderstood him... He praised him 🙄

@jessiexdd8068 2 года назад

Excatly

@cocoa_cakes4938 Год назад

@@zarifpious7046 ?

@sierra4962 4 года назад

centroid: 1:35 ortho: 4:21 circum: 10:17

@KoPowr 4 года назад

Thanks, also I like ur logo

@Jones-lt8ex 4 года назад

Thanks,also I like ur logo

@venkataratnampadaga3392 4 года назад

Tan Q very much

@rxg3182 3 года назад

🙏

@nosna91 3 года назад

Life saver

@tatagr 4 года назад

Thanks so much for this, I have been really confused in class as we have been learning these 4. This video helped me understand it way more.

@amitgaming9391 4 года назад

Hii

@zeina213 4 года назад

Me too!

@nuggetforsale3626 4 года назад

My teacher been teaching this for 3 classes and I learned all of it in 17 mins.

@duckymomo7935 9 месяцев назад

Because they cannot cover all 4 like this too fast otherwise it’s too many concepts

@tabeeb4962 5 лет назад

U BOUTTA GET ME A 90+ ON THE QUIZ TOMORROW LOL tysm

@lukewilliams2744 4 года назад

WhatRbooks Fr

@shell9918 3 года назад

i need to know if you passed it, give update

@tabeeb4962 3 года назад

@@shell9918 woah this was really from two years ago 😯 YES btw I did pass! Really stepped up my geometry grades back in 9th grade just because of youtube vids 😁

@sathvikmalgikar2842 4 года назад

neatly covered bruh keep going. thank you for that simplicity which makes it easy to understand i am totally in agreement wih channels like this to replace the current messed up education system

@georgesadler7830 2 года назад

Mr. Organic Chemistry Tutor ,thank you for a fantastic video/lecture in Plane/Solid Geometry. This topic is a large amount of information to digest.

@cripdip895 3 года назад

Idk why teachers can’t be like this guy. This guy is an absolute lifesaver

@dilipraj-sy6bp Год назад

You must feel talent even from inside you. love maths then everyone's teaching will be good

@akshrags-mindmaze3407 11 месяцев назад

@@dilipraj-sy6bp achha.....

@bridgeon7502 Месяц назад

Cuz students don't listen then they have to constantly re explain it

@vanamalivemparala6297 5 лет назад

I love this channel so much. It helped me so much in freshmen year.

@ramseytarazi2498 5 лет назад

U just saved my math grade But I still don’t get the orthocenter

@INNOPID 5 лет назад

Thats the meeting point of the altitudes

@jasonn_lifts 4 года назад

It's where the altitudes intersect

@joshithaa5596 3 года назад

It is the point of intersection of all the altitudes in a triangle. The ortho centre of an acute triangle lies inside the triangle . The orthocentre of an obtuse triangle always lies outside the triangle . The orthocentre of a right angled triangle lies on the vertex of the right angle.

@sistersquad4991 3 года назад

the orthocenter is where all the altitudes meet, and the altitude is the perpendicular segment from the vertex to the opposite side. for a right triangle, the orthocenter will lie on the vertex of the right angle, for a obtuse triangle the orthocenter will lie somewhere outside the triangle, and for an acute triangle the orthocenter will lie somewhere inside the triangle. hope this helped!

@aryanponnuru2795 3 года назад

Where all three altitudes form a point of concurrency

@marianmalaluan5144 4 года назад

Thank you so much!!! This topic really confuses me. I appreciate it so much. Accurate but simple explanation.

@akihitonarihisago4276 5 лет назад

Start watching from 16:23

@akihitonarihisago4276 5 лет назад

@jeronimoadames6624 5 лет назад

Why

@Ayush-lw8ut 5 лет назад

@abhinavjoshi7299 5 лет назад

If you only want to cram!

@haidenp3511 5 лет назад

@Katie Writes Codes I agree, thanks

@anandreddy620 5 лет назад

this is the best explanation i have ever heard

@randomgaming3313 3 года назад

@TheMemer_ Год назад

The only thing that i wanted to hear is that, "the perpendicular bisector doesn't have to pass through the vertex", cause i was thinking, "if i were to draw a line, it can't be perpendicular, passing through vertex, and bisector at the same time, i mean it can, but not always" *Finally, inner peace*

@liv4cheers724 5 лет назад

This video may of just saved my ass for the test tomorrow 🙏❤️❤️❤️

@carm1011 3 года назад

bro we the same person or what

@thomasfisher2370 2 года назад

Glad to know we’re all in the same boat!

@mathiasbekele1644 11 месяцев назад

This was a very enthusiastic review that helped me with geometry thank you!!!

@sarabjeetsinghsaab8509 2 года назад

I am very thankful to you that you explain this topic in such a easy way

@Pushed2InsanityYT 4 года назад

Wish this was given in my freaking textbook. Thanks anyways:)

@newworld-fo7ep 5 лет назад

I love his voice... And his teachings

@Fonzie_209 7 месяцев назад

This helps so much. 😭 I didnt understand at all in my Geometry class, but now I do. 😅 This video is really helpful!!!

@mathsclassesbyomsir5092 4 года назад

Hare Krishna Hare Krishna Krishna Krishna Hare Hare Hare Ram Hare Ram Ram Ram Hare Hare God bless you thanks

@joshithaa5596 3 года назад

🤨🤨🤨

@VIJAYKUMAR-lw7mv 2 года назад

Thanks to clear my all doubt about centers in a single video...Awsome

@carlluckhardt-quaglia3591 Год назад

Thank you. Your videos are helping me to sustain good grades in Freshmen year.

@meetchokshi1325 3 года назад

my geometry teacher never taught us, she just gave us vocal and a quiz, btw reply if ur watching this in 2020

@patriocabello841 3 года назад

@meetchokshi1325 3 года назад

@@patriocabello841 what?

@lady6222 Год назад

I recently moved to China and started going to an international school and this is taught in our year 8 classes and all my classmates seem to understand it except me- Maths in Australia seemed so easy compared to maths in China.

@Shufflewithsree7 2 года назад

Explanation is really really nice.. just want to point out that in the cases of incenter, circumcenter.. he should clarify about the radius too as students often have bit confusion with what radius to take

@siddharthpandey640 3 года назад

Happy to learn geometry from chemistry teacher

@vvinns2575 4 года назад

This man is a god 200x better than my math teacher

@jadenkarle 5 лет назад

Thank you so much, this helped a lot!

@aaghaatproductions1923 2 года назад

The main thing: perpendicular bisector drawn to sides may not touch the vertices in case of circumcentre. I was just confused about circumcentres and orthocentres. Thanks for clarifying this doubt

@kristellemartin594 4 года назад

Thank you so much!! I hope more people subscribe and learn from you.

@shakirastegaspar7526 4 года назад

We learned the equivalent of 17:56 minutes in three days in my geometry class

@pierceingram9831 6 месяцев назад

I now understand the 4 parts of a triangle. It’s always hard for me to remember but this video cemented it in my brain. I use little things to remember the definitions.

@gayfurry5287 4 года назад

thanks reptilelegit for making this minecraft video

@kocakmeh 5 лет назад

Great Explanation

@NSNick 4 года назад

Thank you so much

@Karan-kw7ju 5 лет назад

Thank so so much for this information

@meherukhan9265 3 года назад

Thanks a lot,,,,,I am from Bangladesh,,,,, I really enjoyed your class🥰

@anindyaghosh1503 3 года назад

Perpendickular

@arigelasuhardhika6715 3 года назад

Awesome... Thanks for making it simpler !!!👏👏🎯🎯

@topstuff4486 6 лет назад

awesome explanation with these diagram! Excellent work!

@hunterspradlin9773 5 лет назад

Made more sense than my teacher did

@boncoderz1430 Год назад

thanks dude, helped a ton

@dawsonthompson5867 3 года назад

Wow I wish my math teacher could explain it like this! Thanks a lot!

@Sarthak-ys2ji Месяц назад

Bro earned a like from india❤

@Wolverine_7107 4 года назад

Why is this in ReptileLegit’s Minecraft Parody playlist?

@michaelhernandez5784 4 года назад

Wolverine 7107 LMAOOOO I WAS JUST WONDERING THIS

@Spartan2Orion 4 года назад

yeah I was just listening to some MC Parodies then next thing I know I'm back in math class lol

@jjhood6155 4 года назад

Deadass lol that’s how I found this

@singedrose2957 5 лет назад

So helpful aaaa

@kevinbarrett8977 5 лет назад

This is quality stuff

@user-vg9gz2gl5x 10 месяцев назад

Thanks bro, I have a test tomorrow and you helped clear things up

@xiaoshen194 4 года назад

do incentre and circumcentre of a triangle coincide?

@deepmalarai818 3 года назад

Very nicely explained...great work👏👏👍👍

@Crystal0503 Месяц назад

😸👍Best teacher ever

@fuzzydemon5939 Год назад

This lesson is awesome!! But I think these circles may be on the spectrum.😂

@VihaanRawal-r6c 8 месяцев назад

Organic Chemistry Tutor, thanks a lot for creating

@silkbag 4 года назад

I have a quiz on this today, tysm

@bhavyaramakrishnan801 4 года назад

Does the orthocenter for a right triangle always have to be on the hypotenuse or is it just a singular case?

@sistersquad4991 3 года назад

always. the orthocenter will always be on the hypotenuse of a right triangle every time... however only for right triangles. for acute triangles, the orthocenter will always be in the triangle, and for obtuse triangles: the orthocenter will always be outside, every time. just remember: right - on, acute - inside, obtuse - outside. hope this helped!

@taniladixon4478 Год назад

John 14:6 “ I am the way the truth and the life. The only way to the father is through me”- Jesus Christ❤️🙏✝️

@user-pb3it6dz1q 4 месяца назад

Shut up

@Nathan-ix9ov 18 дней назад

Amen❤

@danielames957 11 месяцев назад

What whiteboard do you use?

@venketreddyranabotu9697 4 года назад

Thankyou very much sir for this useful vedio.But I would have felt more better if you draw the ortho circle of right angled triangle alsoo.

@aidangebey7115 5 лет назад

thank you.

@IshowVelocity.69 Год назад

In my country, my teachers taught this without even drawing a single triangle. I can't even imagine studying without internet these days.

@sumanbhamboo7459 4 года назад

Thank you too much 🤩

@MikaBoMS 2 года назад

But isn't the incenter the same as the centroid?

@m4rc3ll2 Год назад

clutched for my quiz tomorrow thank u

@MohithRamesh-pk3bu Месяц назад

I thought you only taught org chem You earned a sub

@foxart1387 2 года назад

Better than my 2 hr lecture

@alpha-yw1mw 6 лет назад

thank you,God bless you and thank you.

@TheOrganicChemistryTutor 6 лет назад

Thanks

@lukamatos4563 4 года назад

Why is this in Reptilelegit minecraft parodies

@clawsmasher 4 года назад

Luka Matoš that’s what I’m wondering lol

@vidhisingh260 2 месяца назад

great video!! thanks so much !!

@vishnujs6113 5 лет назад

One doubt.. perpendicular should be drawn from mid point of each side for circum centre?? We need only perpendicular right? Does it should be from midpoint only?? We can draw perpendicular from anywhere from the sides..??

@sistersquad4991 3 года назад

the perpendicular bisector is drawn from the midpoint, and in a 90 degree angle from that side. however just a perpendicular line does not need to be drawn from the midpoint, but if you are doing a bisector then yes it needs to be from the midpoint.

@ratqueen7630 Год назад

my math teacher

@abhijeet785v 4 года назад

How is incentre different from centroid?

@sistersquad4991 3 года назад

centroid is the intersection of medians, which is the vertex to the midpoint of the opposite side. however incenter is the the intersection of the angle bisectors, which is different from median.

@patelmeena5535 2 дня назад

Thank you solve my doute ❤

@PolarRecords 4 года назад

fantastic mc parody

@jimaimahbaravilala9446 3 года назад

omg this is so help full it is so understandable

@chrisx0293 4 года назад

You sound like reviewbrah

@rickyalvarez8761 5 лет назад

I SWEAR I F****** LOVE YOU...so I’m in advanced honors geometry, and my teacher was gone for a whole week. He came back and he tried to rush us into catching up to where we should’ve been with the extremely fast pace we had. I was absent Monday, and he went over a whole chapter on all these currency points, and he set up a test for today. Tuesday we had practice SAT, and yesterday he was already teaching us on the new chapter without catching up everyone who was absent. I didn’t know S#!+ about the test. But you saved my Sass.💕💕💕

@rickyalvarez8761 5 лет назад

I got a 97 btw

@not_yu 3 года назад

Thanks I went to class and my teacher told us to make a piece of art including these and she never taught us what they were.

@oneinabillion654 5 лет назад

Is the incenter always the center of the incircle?

@Xjebin 4 года назад

16:23

@sistersquad4991 3 года назад

yes, because its the angle bisectors so its inside.

@BryceKuhl-mw1fq Год назад

Thank you so much!

@NisargaPriyaru 5 лет назад

do all these points exist for any triangle!!?

@gopikishorala1474 5 лет назад

Thanks a lot excellent tutor

@fastlearningmcqs 2 года назад

Off course

@ankitadangi1655 4 года назад

Sir I have a question please solve my problem..... Please prove that sin(90+theta ) = cos(theta)??????

@Pushed2InsanityYT 4 года назад

Bro its 90-theta

@sakibmir5360 4 года назад

90 - theta not 90 + theta 🤣🤣🤣🤣

@yee6870 4 года назад

sin(90+x)=sin(90-x) when you see a right triangle and you want to know sin(x), you divide the cathetus opposite to the angle x by the hypotenuse, right? you have to realize that the cathetus opposite to angle x is also adjacent to angle (90-x) the opposite is also true; the side opposite to angle (90-x) is adjacent to angle x therefore, cos(x), is equal to sin(90-x).

@ankitadangi1655 4 года назад

@@Pushed2InsanityYT I think your maths is poor..

@ankitadangi1655 4 года назад

@@sakibmir5360 and also your

@newworld-fo7ep 5 лет назад

Would love to see his face☺

@juicemadesimply3307 4 года назад

Here drone reptilelegits

@vman50cal69 3 года назад

Bro this vid helped so much thank you

@EricPham-gr8pg 9 месяцев назад

If use the ploter to plot sun distance from earth then intersect the center line of each and earth center we may measure accurate

@kaushalyadav8007 3 года назад

Best explanation

@TANUSHKUMAR 4 месяца назад

Please mention the formulas as well

@khaithesnail5385 3 года назад

I've learned more from this dude than my actual geometry teacher

@insecticaa 2 года назад

bruh my teacher always makes us write the definition, then he calls on the same ppl (smart kids) and even then only does like 2-5 examples (6 is stretching it) and then after that we just do a kahoot or a worksheet and like HE NEVER EVEN EXPLAINED IT IN THE FIRST PLACE

@akshrags-mindmaze3407 11 месяцев назад

@@insecticaa 😂😂

@akshrags-mindmaze3407 11 месяцев назад

@@insecticaa which class r u now??

@insecticaa 11 месяцев назад

@@akshrags-mindmaze3407 I’m in ap pre calculus now, that comment was 8th grade now i’m in 10th :P

@kramer4196 2 года назад

Thanks bro got a test tmr and you carried

@MrStudent1978 4 года назад

Nice explanation

@asmitrai1035 2 года назад

Thank You

@ruyasatpathy1237 4 месяца назад

thank you, sir

@zehlestiall9692 2 месяца назад

the incenter one is wrong, it is: if you draw a perpendicular line from the incenter to each of the triangle's 3 sides, there, you will be able to draw a circle because those perpendicular lines equal each other.

@user-wu8ry5wq6l 7 месяцев назад

Thanks

@Iamagudgurl333 8 месяцев назад

CAN YOU PLEASE CONDUCT A MATH CLASS

@user-no6zz4zu5d 7 месяцев назад

Thanks❤

@djsugees7286 2 года назад

I don't understand, these are all exactly the same except orthocenter. Can someone explain to me what the difference is between incenter, centroid, and circumcenter. To me they are all the same with different names

@mumkichux 2 года назад

incenter: its the point of intersection of internal angle bisectors of angles of triangle centroid: point of intresection of medians inside the trengle