Median of a Triangle Formula, Example Problems, Properties, Definition, Geometry, Midpoint & Centroi

This geometry video tutorial provides a basic introduction into the median of a triangle. It provides the formula and equations necessary to calculate segment lengths within the median such as the distance between the vertex and centroid or between the midpoint and centroid. The median is the line segment that connects the vertex of a triangle to the midpoint of the opposite side. This video discusses the definition of the median as well as its properties. The median bisects the opposite side into two congruent segments. This video provides plenty of examples and algebra practice problems involving medians.
2 Column Proofs of Congruent Segments:
• Two Column Proofs of C...
2 Column Proofs of Angles:
• Geometry, Two Column P...
Triangle Congruence - SSS, SAS, ASA:
• Triangle Congruence Th...
CPCTC - 2 Column Proofs With Triangles:
• CPCTC Geometry Proofs ...
Altitude of a Triangle - Orthocenter:
• Altitude of a Triangle...
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Triangles, Medians, & Altitudes - Proofs:
• Two Column Proofs - Tr...
2 Column Proofs - Isosceles Triangles:
• Geometry Proofs - Isos...
Angle Side Theorem - 2 Column Proofs:
• Angle Side / Base-Angl...
Hypotenuse Leg Theorem - HL Postulate:
• Hypotenuse Leg Theorem...
Detour Proofs - Double Triangle Congruence:
• Detour Proofs - Double...
Missing Diagrams - 2 Column Proofs:
• Missing Diagrams With ...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

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

[@karam7467]

You help me more than my teacher ever would

[@JagdishSharma-oc4vt]

Yes

[@forehead6064]

@@JagdishSharma-oc4vt 2 years later

[@BalleBakBal]

@@forehead6064 1 year later

[@themaskedraff]

yas

[@editoryt._]

@@forehead6064 4 years later

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for an awesome video/lecture on the Median of a Triangle in Analytic/Solid Geometry. This topic is straight forward and simple to visualize. The examples use the median of a Triangle Formula to find solutions.

[@SukunaYT106]

Thank you man, you helped me to solve the question of physics.

[@RUSEY.]

I had a test tomorrow when I didn't even know how to do all this now I'm ready Thank you bro🔥🔥🔥🔥🔥🔥🔥🔥✨

[@ShaynaFeinberg]

Omg thank you so much!! My teacher doesn’t teach well so I tend to get 50’s on my tests.

[@molieb5943]

Same

[@molieb5943]

Wait are you also Jewish

[@ShaynaFeinberg]

@@molieb5943 yup

[@molieb5943]

@@ShaynaFeinberg do you live in New Jersey

[@simonli4158]

seems like a you problem

[@nicholasmartinez5451]

Thanks man you teach way better than any teacher in the world

[@valeriacasas8535]

nah i never comment on yt videos but this man eats all of my teachers up

[@zayncharania9182]

Dude I have a math competition in 5 minutes you are a life saver. The notes my professor gave me suck.

[@luv_gh]

thank you that was really helpful i like the way you teach

[@Muhammed_English314]

for all of you wondering why it is 2/3? I've proved it by finding the equation of two medians and find the intersection of those lines then find the distance between the intersection point which is the centroid and the vertex then find the distance between the same point and the midpoint of the side opposite to that vertex then find a relation between them which turns out to be 2:1 or you can say that the one between the vertex and centroid is 2/3 that median. pro tip assume one if the vertices to be the origin and the other to be on the x-axis (a,0) and the last one to be in the first quadrant (b,c)

[@santoshksingh21]

Thank you sir u are a awesome teacher every teacher is like a dream changer 🙂🙂🙂

[@lokeshg98]

Bro ur better at teAching then me grammar school teacher. Keep it up!

[@LilianLi-q1d]

THANK YOUR FOR SAVING MY GRADE

[@alemtsehaydata1531]

the best learning way

[@khloemp4994]

you literally saved me... thank you

[@Yahonlyfoundmewithachiken]

Thank you for helping me so much 🙏🏿

[@janpagan8970]

Thanks, you help me in Class!!!✌😃

[@yyyogita]

Clear all doubts .. Tq from India

[@sanjaykumarkhilar307]

Thank you!!

[@danielbarrera875]

Please explain how the two areas are the same: asa, sss, etc....

[@lillythegoddessreadbio3552]

Sss is side side side ....asa is angle side angle...aas is angle angle side ....sas is side angle side and (R)HL stands for (Right) hypotenuse legs.Then lastly there is cpctc which is Corresponding Parts of a Congruent Triangles are Congruent

[@ahmade5842]

thanks fro helping me get 12 marks on my assignment!

[@lixvin]

How did u bring the 2/3 of the median pls tell me and thx

[@amargbm2924]

3 is from how much the median the object have.
triangle is 3

[@Battery_Acid_666]

I think he divided the 9 by the 3 and then multiplied the 3 from the
2

[@mathwithsud]

Because centroid is the point in the triangle which divides the median in the ratio 2:1..so overall AP/AE becomes 2/3

[@soni2009]

Sir the thing is that the median divides a triangle in a 2:1 ratio. And as u know how to find a ratio, it becomes ⅓ and ⅔ respectively

[@miffyluvbug]

I would try to explain but you asked like two years ago 😭 I don’t know if you still want to know

[@mateovolante5689]

How can you find the length of the sides if the median is given?

[@aguyfromparalleluniverse]

under root the sum of other two sides squared

[@Sack69]

Thanks for a such great tutorial!

[@wadew602]

This mans handwriting is better than mine on the copybook.

[@matthewdevigneron]

What a man u deserve a raise bruh

[@lavrentievv]

How did you get 2/3?

[@gregorysimpson2132]

Thanks so much

[@rinku6143]

Love From India🇮🇳😘

[@tereza.n8180]

I wish u were my every day teacher at sch😫
U're realy the best thank u so much for ur precious help👏

[@stos6974]

still helpful after 6 years

[@poker954]

Ohhhhh man, you cleared all my doubts, Thankkkkkkkk you

[@smitaparanjape]

thx it cleared all my doubts

[@smitaparanjape]

yup

[@jackmcritchie4692]

Great video. Thank you

[@dipasahu6061]

Thank you somuch regarding this

[@thusoramakobya7054]

Helpful for my education degree

[@saiddrmohamed6330]

Thank you, you helped me so much

[@nanaisalwaysbored]

13:26 it says PD=1/3BD so shouldn't he have put 1/3(4x-7) instead of 1/3(x^2+11) because the formula for BP is BP=2RD

[@nanaisalwaysbored]

if this is not a mistake can someone explain it to me

[@walkiriamachado21]

He is correct. Remember that BD is the whole median, PD is only a fraction (1/3) of BD.
BP=2PD means that PD is twice the value of BP so it's not a formula but a comparison.

[@nanaisalwaysbored]

@@walkiriamachado21 oh thank you

[@walkiriamachado21]

@@nanaisalwaysbored No Problem :)

[@Arg4E]

You really help man but with me its not gonna work with this lesson but your a really good teacher

[@toki23cmc54]

Can i asked this. Find RV if RV = 2x - 10 and RW = x - 3

[@tanujmaherwal6402]

i love you more than i love anyone else

[@bolt6127]

Thanks sir

[@anastasiaanautodidact9856]

mental note: there's no difference between a median & a side bisector, yet it's different from angle bisectors

[@sukarnos3xy]

True, a median always bisects a triangle's side into two congruent lines, just like an angle bisector always bisects a triangle's angle into two congruent angles. therefore a median is the same as the side bisector, synonymous.

[@rupjyotisarma7434]

Sir, AP=2/3(AE)
Please explain again...how ?

[@jackscrup23]

You save a lot of bad teachers jobs! Goat

[@superioraura]

achievement unlocked:
king of triangles

[@peterlohnes1]

dude, never put ads in a youtube math lesson

[@nextgamingera2315]

Peter Lohnes he has to profit from it somehow don’t be stupid

[@samueladumukuro946]

U need a break.
😂😂😂
No stress

[@kshitizrai9901]

How to prove the median of equilateral triangle having vertices are equidistance

[@BilalAli-wb4ey]

This lessons for which grade?

[@vinaysharma-sm1ff]

what do you mean by the center of gravity of an object? 2:26

[@xcrusaderofhope5903]

Dude ur a fuckin legend 🙏. You just helped me understand those topic so much more. You literally just helped me complete my Pre-AP Geometry homework. I just wish that I could’ve seen this BEFORE I took my test on this topic 😅😅. But thank you so much bro 🤧✊ (December 18th, 2019)

[@Shadow-audio499]

My brain:👍 my hands:👍 me:👍 me actually writes:🤔😱🤯😭

[@doaaelsheshtawy2491]

What's the name of program you use?

[@bry489]

centroi or centroid?

[@Vortex1000]

Centroid

[@nev3172]

bry centroid

[@bloop9474]

but how do you find the legnth of a median?

[@chesslectures9081]

Cosine rule is used .

[@bloop9474]

Thanks!

[@shrushtichavan1216]

CEO of tutoring

[@sunithasuni9335]

Tq

[@blitx9273]

Thank you my teacher well can't make me keep my focus in class i soace of in to nothingess and thoughts of anxiety first of high school ez second where the f@#k is the promised free time but geometry is hard and my brain is smooth but thank allot i have learned how to do a median i wqtched this on my macbook in class because i didn't understand sh#t

[@mohammadshaito8954]

💗

[@ZahidJatoi1972]

your lectures are amazing and very helpful however you arent good at seeking the attention of the viewer, I mean to say that your lectures are a bit boring so work on that, and you are best.

[@R0kudo]

where did 2/3 and 1/3 came from? 5:37

[@R0kudo]

is it fix? are these numbers always remain to be the values?

[@anshikayadavbhs9802]

Yes

[@anshikayadavbhs9802]

Median divides the ratio into 2:1

[@NakkaLakshmi-v3d]

Thanks for this 😊😅😮😢🎉😂

[@carltolentino2044]

10x-4=2/3y,,,1 eq,,, 3x+2=1/3y,,,2 eq

[@monishav1825]

Why it is 2/3

[@chesslectures9081]

Yesss.
So why 2/3
It should be 2:1

[@urfuneral]

11:34
no that’s a lovely P

[@jennifferrose9254]

this video is so confusing. you're suppose to be showing how to find the median... and i've yet to see how you actually find the that answer with a formula.

[@davidmargand866]

beans

[@anuproy3674]

I can't understand please accha sa samjhi

[@stabilizeds731]

A prodigy

[@nishanthdaga666]

KUCH BHII

[@wilburw4554]

100th comment

[@jacobmoore2365]

pronounced "object" not "objec"

[@cate01a]

5:05 but explain why it's 2/3rds? getting students to remember facts rather than teaching why and how means youre just listing trivia rather than educating. in other words this isnt very helpful.

[@arabian_reacts]

1star didnt help

[@youtubechannel1229]

I am really sorry but l didn,t understand please tell in Hindi because l am seventh standard student.

[@alexwu7915]

Learn new things that is your business

[@craftypastel5555]

Well THERE ARE ENGLISH PERIODS IN SCHOOLS IN INDIA

[@bhavthebuilder]

@@craftypastel5555 yes there are

[@nusratsarmin2781]

Well thru his style of talking its pretty obvious that he doesnt know indian and is from a english speaking country

[@abhignashah6027]

useless... i want to know the length of median if the sides are given

[@ngchorhong3174]

If all three sides are given,
use cosine rule to find one of the angles.
After that draw a median that doesn't cut the angle you just found and use trigonometry
It's possible because you have one given side, one angle and the unknown length of the median

[@brandonvandelden7972]

You didn't have straight lines to begin with. Not a triangle

[@lillythegoddessreadbio3552]

Don't be a hater ...

[@faith9196]

I hope you’re kidding sis

[@kuromi5895]

no shit, you better bring a ruler

[@NataliaTatyana]

Thank you!

[@shiftyshredder]

Thank you!!