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- triangle ab c with c as hypotenuse
- construct line at rt angle to c to meet angle ab
- therefore line c divided into m and n
- sinx = a / n+m = n / a = so = a square = n square + mn (sinx also e / b - not used)
- sin y = m / b = b/ n+m = so = b square = m squae + nm (sin y = e / a also not used
- a square + b square = m squar + 2mn + n square = (m+n) square
- asquare + b square = c square ( as m+n = c)