[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math


View post   

File: 64 KB, 200x200, Pythag_anim.gif [View same] [iqdb] [saucenao] [google]
4674448 No.4674448 [Reply] [Original]

EXPLAIN THIS BULLSHIT

>> No.4674452

wat is there to explain that the graphic doesn't?

>> No.4674460

<div class="math">\|\vec c\|^2=\|\vec a -\vec b\|^2=\|\vec a|^2 - 2 \Re\langle\vec a, \vec b \rangle +\|\vec b\|^2 = \|\vec a|^2 + \|\vec b\|^2 </div>

>> No.4674503

(a+b)^2=a^2+2*a*b+b^2

Easy OP isn't it?

>> No.4674588

It's Utah.

>> No.4674606

go the other way:
when you have the big one showing c², you can say:

(a+b)² = c² + 2 ab
(the whole square is the inner square plus 4 rectangular triangles with a and b with the area = 1/2 ab)

this leads to a² +2ab + b² = c² +2ab
and thus pythagoras:
c² = a²+b²