@anticorncob6 the proof is simple to understand. since the formula obviously works for right triangles, we can think of the obtuse triangle as a big right triangle (with height same as the obtuse and base equal to the extension of the base to the height PLUS the original base) minus a small right triangle (height same as the obtuse and base equal to the extension of the base to the height). draw the diagram and you'll understand.
@vvop
9 жыл бұрын
Excellent exposition of a truly marvelous proof, well done.
@PattyManatty
13 жыл бұрын
I don't understand why DAB, and CAH having the same area implies that AHIK and CEDA have the same area?
@ThisIsRiyad
13 жыл бұрын
Thanks. Well done. I remember reading about this specific proof earlier this year, but your illustrated video proof is a lot simpler, and reinforces the proof visually. It is a great version of this proof, though I remember when I first saw this proof, I was unsatisfied -- can't remember why, cuz it seems pretty complete to me : )
@anticorncob6
11 жыл бұрын
Great, and yes, I use it a lot. "even though my comment wa nine months old.", posted 1 year ago, it's cool how fast time flies by.
@silomurphy4451
2 жыл бұрын
And now it’s been 8 years.
@anticorncob6
13 жыл бұрын
@ToddsGen This proof is better then the others because the others just prove that a^2 + b^2 = c^2, where this proof shows that along with that the area of ECAD is the same as AKIH (see video for what I mean), and the same with the other two. There might be a simpler proof of this, but this is an original. It's cool and should be appriciated.
@tibschris
12 жыл бұрын
Today I want to show you how to use a mic
@PCGamerPortal
13 жыл бұрын
@PattyManatty Because the area of DAB = 1/2 * area of CEDA and area of CAH = 1/2 * area of AHIK , this is because DAB has the same base and height as CEDA, same for AHIK and CAH.
@AtheistCitizen
13 жыл бұрын
No need to do the 2nd part!!! As a math major, even grad student, I never spent any energy on such a proof, hence I must thank you for your pf
@richardurena5867
11 жыл бұрын
thanks to this guy who worked on this video :D!! you saved me several time.. if you were in front of me, i would shake your hand thanks again. !
@jesusthroughmary
12 жыл бұрын
I first learned this 20 years ago, but dear God in Heaven, it's marvelous.
@PCGamerPortal
13 жыл бұрын
@anticorncob6 you prove that the area of a paralelogram is bh, then any 2 congruent triangles can be arranged into a paralelogram with the same base and height as the triangles.
@rauljaime4556
5 жыл бұрын
Thank you so much made sense and a great explanation of the proof.
@PCGamerPortal
13 жыл бұрын
@AtheistCitizen my math programme at the National Autonomous University of Mexico includes a first semester course entitled modern geometry where we learn about euclid's axiomatic system and construct our geometry from them, later adding other axioms like pasch's axiom. I think it is a very complete course which would be hard to top recreationally by most aspiring mathematicians.
@BatusaiJack
6 жыл бұрын
Mesech Is Mexico
@anticorncob6
12 жыл бұрын
The comment was posted nearly two years ago, cut him a break.
@epicshotz90
11 жыл бұрын
terrrible mic
@nymathteacher
5 жыл бұрын
Yeah, I really wish I had invested in a good one.
@whatastud1000
3 жыл бұрын
L'chaim and Shalom Mr Rubinstein
@AtheistCitizen
13 жыл бұрын
@PCGamerPortal "first semester" which? U of Chicago undergrad and UNC grad never seen. Most programs assume that you will acquire this sort of knowledge recreationally.
@dalis001
14 жыл бұрын
how can i prove those four triangles half of the square??
@TheAlyzzamariee
12 жыл бұрын
How can you prove that the line drawn from C to K and then to I will actually intersect the square again? Obviously, you can see from the drawing that it will, but in Euclidean geometry, usually you must prove every minute detail. I can see how you would prove that it would intersect at K (by showing that angle JCA < angle ACB, and therefore, CJ is drawn from a point on triangle CAB to a point inside CAB... etc. but how do you prove it will intersect at I? Thanks!
@mrtamborineman10
13 жыл бұрын
amazing! this is a great proof, thanks a lot!
@PCGamerPortal
13 жыл бұрын
@AtheistCitizen that's weird I saw several proofs of this theorem in my first semester
@anticorncob6
13 жыл бұрын
Prove the formula bh/2 works for obtuse triangles. I'm sure that's right but I want proof.
@MichaelDamoulianos
13 жыл бұрын
what program are you using?
@anticorncob6
13 жыл бұрын
@PCGamerPortal Thanks for responding even though my comment was nine months old. I think I understand it.
@PCGamerPortal
13 жыл бұрын
@anticorncob6 lol I didn't notice that xD
@BatusaiJack
6 жыл бұрын
Euclid Elements
@BatusaiJack
6 жыл бұрын
I think the Greeks Civilization already had invented the lenz. Gravity. 2300. years. ago
@dalis001
14 жыл бұрын
@nymathteacher thanks u so much it helps alot
@jesusthroughmary
12 жыл бұрын
It's 2,300 years old. Cut Euclid a break.
@BatusaiJack
6 жыл бұрын
And then the little horn of Daniel 8 shows up
@PCGamerPortal
13 жыл бұрын
you need a better microphone
@MrPraise88
12 жыл бұрын
is good explanations but ur mic is so terrible...its so annoying
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