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

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:
• Circles - Area, Circum...
Circles - Chords, Radius, & Diameter:
• Circles - Chords, Radi...
Lines, Rays, Line Segments, & Angles:
• Lines, Rays, Line Segm...
2 Column Proofs - Cong. Segments:
• Two Column Proofs of C...
Triangle Congruence - SSS, SAS, ASA:
• Triangle Congruence Th...
Central Angles and Circle Arcs:
• Central Angles, Circle...
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Tangent Lines and Secant Lines:
• Tangent Lines & Secant...
Circles - Central and Inscribed Angles:
• Circles, Angle Measure...
Tangent Tangent Angle Theorems:
• Tangent Tangent Angle ...
Inscribed and Circumscribed Polygons:
• Inscribed Polygons and...
Power Theorems - Chords, Secants, & Tangents:
• Power Theorems - Chord...
Circle Theorems:
• Circle Theorems
_________________________________
Two Column Proofs With Circles:
• Two Column Proofs With...
Circles Review - Geometry:
• Circles - Geometry
Distance Between Point and Line in 2D & 3D:
• Distance Between a Poi...
Area of a Triangle With Vertices:
• Area of a Triangle Wit...
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Coordinate Geometry:
• Coordinate Geometry, B...
Geometry Review - Study Guide:
• Geometry Introduction ...
Geometry Final Exam Review:
• Geometry Final Exam Re...
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

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

[@skyguy7994]

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

[@rickyalvarez8761]

Ik it’s bullshit man fuck the school system

[@hela_helio]

@@rickyalvarez8761 Fr tho

[@burningblackknight8237]

Ikr

[@isaiah4tone]

hi i like star wars

[@zingozingozingo]

Fax

[@carterfield1355]

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

[@jedidiahakash6417]

It is indeed 17min

[@ggbearair4630]

My teacher does this in an hour or more

[@zarifpious7046]

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

[@jessiexdd8068]

Excatly

[@cocoa_cakes4938]

@@zarifpious7046 ?

[@sierra4962]

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

[@KoPowr]

Thanks, also I like ur logo

[@Jones-lt8ex]

Thanks,also I like ur logo

[@venkataratnampadaga3392]

Tan Q very much

[@rxg3182]

🙏

[@nosna91]

Life saver

[@tatagr]

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]

Hii

[@zeina213]

Me too!

[@nuggetforsale3626]

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

[@duckymomo7935]

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

[@tabeeb4962]

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

[@lukewilliams2744]

WhatRbooks Fr

[@shell9918]

i need to know if you passed it, give update

[@tabeeb4962]

@@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 😁

[@cripdip895]

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

[@dilipraj-sy6bp]

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

[@akshrags-mindmaze3407]

@@dilipraj-sy6bp achha.....

[@ramseytarazi2498]

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

[@INNOPID]

Thats the meeting point of the altitudes

[@jasonn_lifts]

It's where the altitudes intersect

[@joshithaa5596]

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]

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]

Where all three altitudes form a point of concurrency

[@sathvikmalgikar2842]

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]

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.

[@vanamalivemparala6297]

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

[@Pushed2InsanityYT]

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

[@meetchokshi1325]

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

[@patriocabello841]

No

[@meetchokshi1325]

@@patriocabello841 what?

[@marianmalaluan5144]

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

[@liv4cheers724]

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

[@carm1011]

bro we the same person or what

[@thomasfisher2370]

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

[@VIJAYKUMAR-lw7mv]

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

[@anandreddy620]

this is the best explanation i have ever heard

[@randomgaming3313]

Op

[@mathiasbekele1644]

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

[@arigelasuhardhika6715]

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

[@carlluckhardt-quaglia3591]

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

[@Fonzie_209]

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

[@Shufflewithsree7]

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

[@sarabjeetsinghsaab8509]

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

[@jadenkarle]

Thank you so much, this helped a lot!

[@akihitonarihisago4276]

Start watching from 16:23

[@akihitonarihisago4276]

Np

[@jeronimoadames6624]

Why

[@Ayush-lw8ut]

ty

[@abhinavjoshi7299]

If you only want to cram!

[@haidenp3511]

@Katie Writes Codes I agree, thanks

[@shakirastegaspar7526]

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

[@deepmalarai818]

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

[@user-vg9gz2gl5x]

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

[@Wolverine_7107]

Why is this in ReptileLegit’s Minecraft Parody playlist?

[@michaelhernandez5784]

Wolverine 7107 LMAOOOO I WAS JUST WONDERING THIS

[@Spartan2Orion]

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

[@jjhood6155]

Deadass lol that’s how I found this

[@kristellemartin594]

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

[@pierceingram9831]

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.

[@dawsonthompson5867]

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

[@kocakmeh]

Great Explanation

[@vvinns2575]

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

[@lady6222]

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.

[@newworld-fo7ep]

I love his voice... And his teachings

[@Karan-kw7ju]

Thank so so much for this information

[@aaghaatproductions1923]

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

[@IshowVelocity.69]

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

[@user-zx3yu8ie9g]

Organic Chemistry Tutor, thanks a lot for creating

[@topstuff4486]

awesome explanation with these diagram! Excellent work!

[@xiaoshen194]

do incentre and circumcentre of a triangle coincide?

[@danielames957]

What whiteboard do you use?

[@TheMemer_]

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*

[@hunterspradlin9773]

Made more sense than my teacher did

[@vidhisingh260]

great video!! thanks so much !!

[@siddharthpandey640]

Happy to learn geometry from chemistry teacher

[@gayfurry5287]

thanks reptilelegit for making this minecraft video

[@boncoderz1430]

thanks dude, helped a ton

[@NSNick]

Thank you so much

[@venketreddyranabotu9697]

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.

[@vman50cal69]

Bro this vid helped so much thank you

[@fuzzydemon5939]

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

[@bhavyaramakrishnan801]

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

[@sistersquad4991]

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!

[@meherukhan9265]

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

[@anindyaghosh1503]

Perpendickular

[@BryceKuhl-mw1fq]

Thank you so much!

[@m4rc3ll2]

clutched for my quiz tomorrow thank u

[@mathsclassesbyomsir5092]

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

[@joshithaa5596]

🤨🤨🤨

[@kevinbarrett8977]

This is quality stuff

[@aidangebey7115]

thank you.

[@sumanbhamboo7459]

Thank you too much 🤩

[@jimaimahbaravilala9446]

omg this is so help full it is so understandable

[@singedrose2957]

So helpful aaaa

[@silkbag]

I have a quiz on this today, tysm

[@vishnujs6113]

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]

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.

[@MrStudent1978]

Nice explanation

[@kaushalyadav8007]

Best explanation

[@kramer4196]

Thanks bro got a test tmr and you carried

[@nirbhay372]

Thanks for remind ☺

[@ruyasatpathy1237]

thank you, sir

[@not_yu]

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.

[@foxart1387]

Better than my 2 hr lecture

[@asmitrai1035]

Thank You

[@MikaBoMS]

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

[@sanowarmasum5350]

Thank you

[@PolarRecords]

fantastic mc parody

[@isaiah4tone]

Thanks!!!!

[@user-no6zz4zu5d]

Thanks❤

[@khaithesnail5385]

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

[@insecticaa]

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]

@@insecticaa 😂😂

[@akshrags-mindmaze3407]

@@insecticaa which class r u now??

[@insecticaa]

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

[@ratqueen7630]

my math teacher

[@alpha-yw1mw]

thank you,God bless you and thank you.

[@TheOrganicChemistryTutor]

Thanks

[@djsugees7286]

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]

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

[@lukamatos4563]

Why is this in Reptilelegit minecraft parodies

[@clawsmasher]

Luka Matoš that’s what I’m wondering lol

[@sarahfannin3890]

it don’t show me how to do it with a compass tho

[@z73_o]

How did you do that, it is normal to come back and explain

[@BLlTZZ]

Why can’t my teacher be more simple than this instead of over complicating the theorems

[@TANUSHKUMAR]

Please mention the formulas as well

[@Iamagudgurl333]

CAN YOU PLEASE CONDUCT A MATH CLASS

[@andreagerges8272]

Bro this is how long this lesson should’ve taken to understand but no my teacher has to yap for an 1 hour and 15 minutes

[@NisargaPriyaru]

do all these points exist for any triangle!!?

[@gopikishorala1474]

Thanks a lot excellent tutor

[@fastlearningmcqs]

Off course

[@juliisdiary]

THIS HELPS SO MUCH THANK YOUUU

[@BrktiBerhanu]

Thanks

[@chrisx0293]

You sound like reviewbrah

[@newworld-fo7ep]

Would love to see his face☺

[@EricPham-gr8pg]

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

[@oneinabillion654]

Is the incenter always the center of the incircle?

[@Xjebin]

16:23

[@sistersquad4991]

yes, because its the angle bisectors so its inside.

[@lz_zal4697]

Why is this in a reptilelegit playlist lmao

[@Ro1lol.]

for such a smart guy, he uses black ink in a black background.

[@f2lmikey]

This is on reptile legits minecraft parody play list