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

Рет қаралды 307,284

6 жыл бұрын

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...
_____________________________________
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 ...
_______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 134

@TheOrganicChemistryTutor 5 ай бұрын

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

@karam7467 5 жыл бұрын

You help me more than my teacher ever would

@JagdishSharma-oc4vt 3 жыл бұрын

Yes

@forehead6064 3 жыл бұрын

@@JagdishSharma-oc4vt 2 years later

@BalleBakBal 2 жыл бұрын

@@forehead6064 1 year later

@themaskedraff 2 жыл бұрын

yas

@editoryt._ 2 жыл бұрын

@@forehead6064 4 years later

@georgesadler7830 2 жыл бұрын

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 Жыл бұрын

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

@RUSEY. Жыл бұрын

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

@Sack69 5 жыл бұрын

Thanks for a such great tutorial!

@ShaynaFeinberg 6 жыл бұрын

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

@molieb5943 3 жыл бұрын

Same

@molieb5943 3 жыл бұрын

Wait are you also Jewish

@ShaynaFeinberg 3 жыл бұрын

@@molieb5943 yup

@molieb5943 3 жыл бұрын

@@ShaynaFeinberg do you live in New Jersey

@simonli4158 3 жыл бұрын

seems like a you problem

@luv_gh 3 жыл бұрын

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

@valeriacasas8535 2 жыл бұрын

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

@poker954 2 жыл бұрын

Ohhhhh man, you cleared all my doubts, Thankkkkkkkk you

@dipasahu6061 6 жыл бұрын

Thank you somuch regarding this

@NataliaTatyana 5 жыл бұрын

Thank you!

@janpagan8970 3 жыл бұрын

Thanks, you help me in Class!!!✌😃

@user-lz5pf9un5m 7 күн бұрын

THANK YOUR FOR SAVING MY GRADE

@lokeshg98 4 жыл бұрын

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

@matthewdevigneron 3 жыл бұрын

What a man u deserve a raise bruh

@alemtsehaydata1531 4 жыл бұрын

the best learning way

@sanjaykumarkhilar307 3 жыл бұрын

Thank you!!

@zayncharania9182 3 жыл бұрын

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

@Yahonlyfoundmewithachiken 7 ай бұрын

Thank you for helping me so much 🙏🏿

@nicholasmartinez5451 4 жыл бұрын

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

@jackmcritchie4692 23 күн бұрын

Great video. Thank you

@wadew602 4 жыл бұрын

This mans handwriting is better than mine on the copybook.

@khloemp4994 4 жыл бұрын

you literally saved me... thank you

@yyyogita 3 жыл бұрын

Clear all doubts .. Tq from India

@ahmade5842 Жыл бұрын

thanks fro helping me get 12 marks on my assignment!

@santoshksingh21 3 жыл бұрын

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

@gregorysimpson2132 3 жыл бұрын

Thanks so much

@mohammadazad8350 4 жыл бұрын

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)

@rinku6143 3 жыл бұрын

Love From India🇮🇳😘

@stos6974 6 ай бұрын

still helpful after 6 years

@thusoramakobya7054 Жыл бұрын

Helpful for my education degree

@saiddrmohamed6330 3 жыл бұрын

Thank you, you helped me so much

@Arg4E 2 жыл бұрын

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

@jackscrup23 Жыл бұрын

You save a lot of bad teachers jobs! Goat

@lixvin 5 жыл бұрын

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

@amargbm2924 4 жыл бұрын

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

@Twilight_Sparkle_888 4 жыл бұрын

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

@mathwithsud 4 жыл бұрын

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 3 жыл бұрын

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 3 жыл бұрын

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

@superioraura 3 жыл бұрын

achievement unlocked: king of triangles

@lavrentievv 5 жыл бұрын

How did you get 2/3?

@bolt6127 4 жыл бұрын

Thanks sir

@tanujmaherwal6402 Ай бұрын

i love you more than i love anyone else

@mateovolante5689 4 жыл бұрын

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

@aguyfromparalleluniverse 2 жыл бұрын

under root the sum of other two sides squared

@anastasiaanautodidact9856 3 жыл бұрын

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

@sukarnos3xy 2 жыл бұрын

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.

@danielbarrera875 5 жыл бұрын

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

@lillythegoddessreadbio3552 5 жыл бұрын

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

@xcrusaderofhope5903 4 жыл бұрын

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)

@peterlohnes1 6 жыл бұрын

dude, never put ads in a youtube math lesson

@nextgamingera2315 5 жыл бұрын

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

@samueladumukuro946 4 жыл бұрын

U need a break. 😂😂😂 No stress

@shrushtichavan1216 4 жыл бұрын

CEO of tutoring

@tereza.n8180 2 жыл бұрын

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

@toki23cmc54 4 жыл бұрын

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

@smitaparanjape 3 жыл бұрын

thx it cleared all my doubts

@smitaparanjape 3 жыл бұрын

yup

@vinaysharma-sm1ff 3 жыл бұрын

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

@nanaisalwaysbored 5 жыл бұрын

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 5 жыл бұрын

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

@walkiriamachado21 3 жыл бұрын

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 3 жыл бұрын

@@walkiriamachado21 oh thank you

@walkiriamachado21 3 жыл бұрын

@@nanaisalwaysbored No Problem :)

@blitx9273 2 жыл бұрын

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

@doaaelsheshtawy2491 8 ай бұрын

What's the name of program you use?

@kshitizrai9901 3 жыл бұрын

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

@rupjyotisarma7434 9 ай бұрын

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

@user-xm9br5rv5x 8 ай бұрын

Thanks for this 😊😅😮😢🎉😂

@bloop9474 4 жыл бұрын

but how do you find the legnth of a median?

@chesslectures9081 4 жыл бұрын

Cosine rule is used .

@bloop9474 3 жыл бұрын

Thanks!

@sunithasuni9335 Жыл бұрын

@BilalAli-wb4ey Жыл бұрын

This lessons for which grade?

@bry489 5 жыл бұрын

centroi or centroid?

@Vortex1000 4 жыл бұрын

Centroid

@nev3172 4 жыл бұрын

bry centroid

@carltolentino2044 4 жыл бұрын

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

@urfuneral 2 жыл бұрын

11:34 no that’s a lovely P

@R0kudo 3 жыл бұрын

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

@R0kudo 3 жыл бұрын

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

@anshikayadavbhs9802 3 жыл бұрын

Yes

@anshikayadavbhs9802 3 жыл бұрын

Median divides the ratio into 2:1

@ZahidJatoi1972 3 жыл бұрын

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.

@mohammadshaito8954 2 жыл бұрын

💗

@jennifferrose9254 7 күн бұрын

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.

@anuproy3674 4 жыл бұрын

I can't understand please accha sa samjhi

@nishanthdaga666 2 жыл бұрын

KUCH BHII

@stabilizeds731 4 ай бұрын

A prodigy

@monishav1825 4 жыл бұрын

Why it is 2/3

@chesslectures9081 4 жыл бұрын

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

@wilburw4554 3 жыл бұрын

100th comment

@cate01a Жыл бұрын

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.

@davidmargand866 2 жыл бұрын

beans

@jacobmoore2365 6 жыл бұрын

pronounced "object" not "objec"

@youtubechannel1229 6 жыл бұрын

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

@alexwu7915 6 жыл бұрын

Learn new things that is your business

@craftypastel5555 5 жыл бұрын

Well THERE ARE ENGLISH PERIODS IN SCHOOLS IN INDIA

@bhavthebuilder 5 жыл бұрын

@@craftypastel5555 yes there are

@nusratsarmin2781 4 жыл бұрын

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

@brandonvandelden7972 5 жыл бұрын

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

@lillythegoddessreadbio3552 5 жыл бұрын

Don't be a hater ...

@faith9196 4 жыл бұрын

I hope you’re kidding sis

@kuromi5895 4 жыл бұрын

no shit, you better bring a ruler

@abhignashah6027 4 жыл бұрын

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

@ngchorhong3174 4 жыл бұрын

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