Law of Sin by HP

[Albert Chan]

My head get the correct formula, but when I type, somehow I switched the order ...
The screen shot was right in front of me ! Sorry ...
It should be this:

C^2 = A^2 + B^2 - 2 A B cos(Z)

So, if Z is right triangle, we get C^2 = A^2 + B^2

If Z is tiny, cos(Z) ~ 1,
C^2 ~ A^2 + B^2 - 2 A B ~ (A - B)^2
C ~ abs(A - B)

If Z is almost 180 degree, coz(Z) ~ -1:
C^2 ~ A^2 + B^2 + 2 A B ~ (A + B)^2
C ~ A + B