Visit ilectureonline.com for more math and science lectures! In this video I will prove Heron's Formula.
Пікірлер: 37
@sarahmanchester45104 жыл бұрын
Very nicely presented - clear & easy to follow! I will definitely share with my geometry students.
@aejahrojas29265 жыл бұрын
this was absolutely amazing! You saved me for my trigonometry project !!!!!
@Golden_Tortoise4 жыл бұрын
Wow that is impressive. "We WANT to get to this" then "we WANT to get to this," etc. to get to the simplest form type of logic takes an impressive amount of knowledge and forward thinking. Really for any proof.
@QuintinMassey5 жыл бұрын
I was about to ask why (1-cos^2(c)) equal to (1-cos(c))(1+cos(c)), but then realized that: (1+cos(c))(1-cos(c)) = 1-cos^2(c) by distributing out the left side. Totally thinking out loud :)
@MichelvanBiezen5 жыл бұрын
Great that you figured it out.
@filipgenovski7 жыл бұрын
Very well explained. Thanks!
@ptyptypty32 жыл бұрын
Okay, Michel.. I came back and rewatched this Video!! AMAZING how clear and concise your presentation style is. Well Done!! My cat watched it with me and she has a question for you: "Meoowww.. mew mew.. Meowww ??" :)
@MichelvanBiezen2 жыл бұрын
Hi Philip. Now if you had told me that your cat understood it as well, I would have my doubts. (Our cat is dumber than a door nail).
@canman50606 жыл бұрын
My most favourite proved !
@yuhema97792 жыл бұрын
AWWW it's such a beautiful derivation! Who first invented this was surely a genius!
@MichelvanBiezen2 жыл бұрын
Yes there were some very smart people throughout history.
@TiktokCreator-fo6ye10 ай бұрын
Amazing solved sir
@MichelvanBiezen10 ай бұрын
Thank you. Glad you liked it. 🙂
@reemnasser59892 жыл бұрын
Really thank you 🙏🏻
@MichelvanBiezen2 жыл бұрын
You’re welcome 😊
@ahmedbaig72795 жыл бұрын
I will say excellent because its the 5th deminstration to prove the Haroo's farmula. Wht we can nit f7nd the c8s angke.
@thevibe80654 жыл бұрын
why do you write a^2+b^2-c^2 except (a+b)^2-c^2 at 8:52?
@MichelvanBiezen4 жыл бұрын
Just substituting 1 + cos C and 1 - cos C
@thevibe80654 жыл бұрын
Michel van Biezen thanks!
@ptyptypty34 жыл бұрын
I just figured out HOW Heron aka Hero Of Alexandria discovered this.. it's simple... he did NOT have a Cell phone, a Computer, a Car, a Calculator, he did not have electricity or distractions... he had Lots of time on his hands with little to No Distractions..... That's how he figured it out.. :)...
@MichelvanBiezen4 жыл бұрын
isn't that how anything gets done? Time and perseverance with little distraction. Sounds like a recipe for success.
@shivbabasongs1817 жыл бұрын
Nice video sir .......😆
@user-zi2ld3dq4b4 жыл бұрын
Excellent Sir. Can this formula be proven the same way if our original triangle has an angle of more than90°?
@MichelvanBiezen4 жыл бұрын
Yes, it works for any angle
@davidbrisbane72063 жыл бұрын
Yes, as sin(C) is positive for 0° < C < 180°, so this proof works for acute angles of C as well as obtuse angles of C. If you prove Heron's formula using only Pythagoras' theorem, then you need to prove it seperately when angle C is acute and then again when angle C is obtuse, so you need to do the proof twice, although the proof approach is the same in both cases. Now, since Heron was around at the dawn of Christianity, he would have used the Pythagoras' theorem to prove his famous formula.
@user-zi2ld3dq4b3 жыл бұрын
@@davidbrisbane7206 thank you for the explanation. Good luck.
@davidbrisbane72063 жыл бұрын
@@user-zi2ld3dq4b All good 👍
@puneethsupreethaa26745 жыл бұрын
Hats 🎩 off
@jannahreminders43108 жыл бұрын
easy and enjoyed...
@saitejareddy34917 жыл бұрын
Where is previous one
@MichelvanBiezen7 жыл бұрын
Which "one" are you asking about? Thanks,
@mrrashedali8 жыл бұрын
thank you very much
@chris140919759 жыл бұрын
thx for posting
@potrkca8 жыл бұрын
this proof is mindnumbing!
@mrrashedali8 жыл бұрын
i have one question what is you major
@MichelvanBiezen8 жыл бұрын
When I was a student my major was physics.
@mrrashedali8 жыл бұрын
you are really clever teacher you know everything physics math astronomy chemistry