Complete the generalization of the Pythagorean theorem begun in Problem 59 of section 0.3 by showing that A+B = C in figure 12 these being the areas of similar regions built on the two legs and the hypotenuse of a right triangle
(a) Convince yourself that similarity means

(b) Show that

g(x)=3( x) h(x)=X>) and g(x) dx + | h(x) dx = | f(x) dx.