Law of Sines Visual Proof

Thank you for these amazing videos ❤️!!

Another great demonstration!

But at the end, you say that this is a "standard fact known to Euclid" Perhaps, but not in this way?

i understand best with visuals so i really enjoy your visual proofs!

Surely you are aware of the proof which goes via constructing the circumcircle.

Also, a suggestion, please consider delivering a full course in Euclidean geometry. Would be great for high school students.

This certificate is truly beautiful and simple, something students can easily learn.

Wow this is great! I wish I was shown this back in high school. It would have blown my mind.

This is a foundational principle of that new Pythagorean theorem proof that made the news recently if I am not mistaken. Looking forward to seeing that next!

正弦定理の美しい証明。

Hi,
Your work is awesome....

Can you tell me the name of software(s) that you use in your videos?

How abouth root of something that forever root

This is amazing! My teacher used a different visual proof to prove the law of sines but it was extremely confusing and hard to follow. This proof is so much easier! Are you going to make one for the law of cosines and the law of tangents?

Amazingly simple 🎉❤

❤❤❤❤❤❤❤❤❤😅

but what about the 2R?
a/sin(A) = b/sin(B) = c/sin(C) = 2R {R is a radius of circumcircle of a triangle}

A big thank to you!🎉🎉

I hate that you called that new side length h as well. just throws a wrench in this whole thing.

But u haven't proved that all these equal to 2R

Not a 'visual proof' at all. It's just the standard high school level proof using geometry and algebra. A visual proof doesn't use any algebra, just figures and pictures.

This is a very clear visual demonstration! Thank you.

Beautiful visuals and explanation, but does the second variable "h" have to be equivalent to the first variable "h"? or does it not matter because you're simply using it to relate the "sin B divided by B" ratio to its counterparts for A and C?

how does sin(180-A) = sin(A) ?

Law of sines ok example. Thanks

Thank you! This proof is great.

how does the sin of 180-A = the sin of A. good vid none the less