Special Lines in Triangles: Bisectors, Medians, and Altitudes

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What's a median? Or an altitude? They are special lines you can make with a triangle. And what's a circumcenter, or a centroid, or an orthocenter? These are some special points that relate to triangles. Not every geometry course covers this terminology, but it's super interesting, so take a look!
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Опубликовано:

11 сен 2024

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Комментарии : 71

@kaiserquasar3178 Год назад

I loved it when professor Dave went "it's geometrying time" and then geometried all over the place, truly one of the moments of all time.

@rodger3352 Год назад

LOLLL

@basketguitar9768 5 месяцев назад

Professor Dave can bisect my angle any time.

@miguelcielos9442 2 месяца назад

@@basketguitar9768💀

@AJ-fo3hp 2 года назад

In center---- Angle bisector Centriod ---- Intersection of 3 median ( bisector for side drawn from opposite angle) Orthocenter---- Altitude (perpendicular line drawn from from opposite angle) Circumcenter----3 perpendicular bisector drawn

@ruvstof 5 лет назад

Thank you. I am studying philosophy of space and time. Good to revise things I should have learned many years ago.

@bernadettem6908 4 года назад

Thank you! This will help me prepare for my math test on Monday

@frayedendsofsanity1733 6 лет назад

I'm in med school.. Why am I watching this lol

@ProfessorDaveExplains 6 лет назад

because it's fun to learn!

@frayedendsofsanity1733 6 лет назад

Professor Dave Explains Exactly haha

@tecnospark3010 3 года назад

Same lol

@sameherrokh5360 2 года назад

@@ProfessorDaveExplains yup

@MrDeni23n 2 года назад

A lot of words to remember.

@davidvolland7250 2 года назад

This is excellent a perfect summary gioving all the facts to understand all 3, it moves quickly so you may need to pause or review. But it beats someone going on and on for 45 minutes and trying not to get bored and fast forward or skip. Like Joe Friday said, "Just the facts nothing but the facts"

@Carrymejane 7 месяцев назад

I actually just using ur video as a start point for learning something and as a summary of " did i already understand this?" Because somehow i should have learn in other resources to understand a whole 1 video and that's not ur fault, I'm gladly thank because u make these playlist so it can be my roadmap for math journey. Thanks professor dave ❤

@ReimskyToussaint 4 года назад

At 2:26, I would add/mention a few things. - I would add right angle symbols at those little pink segments of distance. - I would expand on "distance", explaining that the distance from two points is the length the segment connecting them, while the distance from a point to a line (or segment) is the perpendicular segment to that line that originates from that point. Thus the three sides of the triangle here are equidistant ("equal distance") from the incenter since these three pink segments of distance are of same length. Great video as always.

@ReimskyToussaint 4 года назад

Anticipated thanks to use this excellent little theory quiz at the end in my Geometry class in the future. Great vid.

@frankines 8 месяцев назад

Love your videos!! They are a really good resource for learning. Thanks a lot!

@Carrymejane 7 месяцев назад

Table of contents for all concept in math 😂

@audiesamuel1700 4 года назад

It is difficult to keep track of what I'm doing this helped me alot.

@Blacksoul444 5 лет назад

Thank you very much for the compact explanation! Oh, btw. At 0:43, dont you mean isosceles triangle instead of right triangle? If the perpendicular bisector of the base interesects with the other 2 sides (and therefore ultimately is the altitude of the base), we know that the other 2 sides have the same lengths. Therefore it is definitely an isosceles triangle. But it does not necessarily have to have 90 degrees at the intersection and we cannot say for sure that it is a right triangle, right?

@ReimskyToussaint 4 года назад

And also at 3:26 I presume (as well as precising that this median would've been both an angle bisector and perpendicular bisector in that special case of an isosceles triangle)

@teslauzair4539 3 года назад

He means a right isosceles triangle.

@Blacksoul444 3 года назад

@@teslauzair4539 from 00:34 on he says "...if the bisector also coincides with the other 2 sides, then these 2 sides must be equal (= iscosceles triangle), and we have a right triangle." But the interior angle at the intersection does not have to be 90 degrees. So it does not have to be a right isosceles triangle, it just is definitely an isosceles triangle.

@NickHope 3 года назад

Yes, at 0:42 and 03:25 he means isosceles triangle, not right triangle.

@NickHope 3 года назад

@@teslauzair4539 If you mean "isoceles right triangle", he doesn't.

@RayverRegelisa 3 месяца назад

This was discussed in our lecture during the Philippine Mathematical Olympiad Training Sessions. Tried studying it again through RU-vid since I'm not familiar with the terms yet lol.

@panchi2090 2 года назад

0:41 isn't that an isosceles triangle instead of a right one?

@Ajay-Maurya. 2 года назад

yep doesnt seems to be a right triangle for me too

@mysteryman8787 Год назад

He’s talking about the two other triangles made from bisecting the isocèles triangle. He should have said ‘And we have two right triangles’.

@tajdin8838 3 месяца назад

It is very helpful

@taleenalrayes 14 дней назад

This is an amazing work 👏👏

@ArconicTower Месяц назад

Most fun video yet !!!

@rahulchittur908 6 лет назад

Congratulations! U have 100k subscribers.

@MiltosPol-qn3zh 6 лет назад

Very good video

@chasethescientistsaturre5009 2 года назад

Thank you dude. I'm advance to all of my classmates thanks to you.

@dableuyoshiemu7020 2 года назад

Suppose I take a point from the angle bisector,according to this video it is supposed to be equidistant from both sides,but at what angle should I draw the equidistant line from the angle bisector? That part was a little vague for me...

@cotton3349 3 года назад

Thank You!

@jack_who_is_he 3 года назад

U deserve more, saved me

@Gingersnap499 2 года назад

Memento Mori

@skanyone2602 3 года назад

This is great

@jasonruzicka7954 4 месяца назад

"Here lays the problem with your model....YOU DON'T HAVE ONE!" ~ Professor Dave

@UsmanSherwani76 3 года назад

Amazing!!!

@stupidmonkey151 2 года назад

I could swear I didn't learn some of this in geometry class. I definitely don't recall the centroid or orthocenter. Maybe it's bad memory though

@vagnercauanpintorodrigues1147 Год назад

3:43 but, why this happens?

@rajeshannamdevula1893 5 лет назад

Do we define perpendicular bisectors or medians only in a triangle?

@NoActuallyGo-KCUF-Yourself Год назад

No. They can be drawn anywhere.

@GamerSaga 4 года назад

not sure if its just me but what is with all the goofy and complicated terms things are given.

@supremeleader9579 4 года назад

Sometimes it’s Latin, sometimes it’s people saying ‘ooo look how smart I am I discovered this thing called ________ and it’s REALLY complicated (making a name complicated so people think the concept is over complicated)’

@Stoirelius 4 года назад

What would you name it? Could you do better?

@dragonvarine7553 4 года назад

Supreme Leader Or they are the formal definitions that we have chosen for topics in mathematics?

@Ajay-Maurya. 2 года назад

0:42 did he meaned to say isosceles triangle?

@NoActuallyGo-KCUF-Yourself Год назад

No, he meant to say two congruent right triangles.

@HellooDae 7 месяцев назад

Yo, that's a wonderful video, but how do I remember all of this?

@basketguitar9768 5 месяцев назад

Quiz yourself, write a mini essay about it, etc. You can also try a trick ive been experimenting with: making an ryhming or catchy acronym for the things you want to memorize.