Special Lines in Triangles: Bisectors, Medians, and Altitudes
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- เผยแพร่เมื่อ 12 ก.ย. 2024
- 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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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.
LOLLL
Professor Dave can bisect my angle any time.
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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
Thank you. I am studying philosophy of space and time. Good to revise things I should have learned many years ago.
Thank you! This will help me prepare for my math test on Monday
I'm in med school.. Why am I watching this lol
because it's fun to learn!
Professor Dave Explains Exactly haha
Same lol
@@ProfessorDaveExplains yup
A lot of words to remember.
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"
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 ❤
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.
Anticipated thanks to use this excellent little theory quiz at the end in my Geometry class in the future. Great vid.
Love your videos!! They are a really good resource for learning. Thanks a lot!
Table of contents for all concept in math 😂
It is difficult to keep track of what I'm doing this helped me alot.
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?
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)
He means a right isosceles triangle.
@@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.
Yes, at 0:42 and 03:25 he means isosceles triangle, not right triangle.
@@teslauzair4539 If you mean "isoceles right triangle", he doesn't.
This was discussed in our lecture during the Philippine Mathematical Olympiad Training Sessions. Tried studying it again through TH-cam since I'm not familiar with the terms yet lol.
0:41 isn't that an isosceles triangle instead of a right one?
yep doesnt seems to be a right triangle for me too
He’s talking about the two other triangles made from bisecting the isocèles triangle. He should have said ‘And we have two right triangles’.
It is very helpful
This is an amazing work 👏👏
Most fun video yet !!!
Congratulations! U have 100k subscribers.
Very good video
Thank you dude. I'm advance to all of my classmates thanks to you.
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...
Thank You!
U deserve more, saved me
Memento Mori
This is great
"Here lays the problem with your model....YOU DON'T HAVE ONE!"
~ Professor Dave
Amazing!!!
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
3:43
but, why this happens?
Do we define perpendicular bisectors or medians only in a triangle?
No. They can be drawn anywhere.
not sure if its just me but what is with all the goofy and complicated terms things are given.
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)’
What would you name it? Could you do better?
Supreme Leader Or they are the formal definitions that we have chosen for topics in mathematics?
0:42 did he meaned to say isosceles triangle?
No, he meant to say two congruent right triangles.
Yo, that's a wonderful video, but how do I remember all of this?
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.
I love the own intro
HI, IN WATCHING THIS 3 YEARS LATE LOL
Hi
❤❤❤
Thumbs up 👍🏼👍🏼👍🏼✌✌✌
Why am I watching this for fun… there’s something wrong
خلوات فالوغا اصلا الثامن🤣🤣🤣🤣🤣
أخيراً شفت حدا عربي
لمس بعتيت كرمال نحدره
you look a little bit like Cr1t1cal
you never explained why any of that is even useful to know
Usefulness is not required.
Math sucks
"If im bad at the game, then the game sucks"
the life out of you
All 3 of you are valid