Bhaskara 2^nd Proof

(c/b)=(b/s) so cs = b^2

(c/a)=(a/r) so cr = a^2

When you add these two equations together you get:

a^2 + b^2 = cs + cr

You can simplify,

a^2 + b^2 = c(s+r)

Notice that s+r = c

a^2 + b^2 = c*c

Therefore,

a^2 + b^2 = c^2