Complete the generalization of the Pythagorean theorem begun in Problem 59 of section 0.3 by showing that
Question:
(a) Convince yourself that similarity means
(b) Show that
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g(x)=3( x) h(x)=X>) and g(x) dx + | h(x) dx = | f(x) dx.
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In mathematics, the Pythagorean theorem, or Pythagoras\' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
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