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Pythagoras Theorem (I): introduction and investagations [java]
Time:2008/3/26 22:33:17,Hit rate:0

Introduction 

The Pythagoras' (or Pythagorean) Theorem is the statement that the sum of (the areas of) the two small squares equals (the area of) the big one.

In algebraic terms, a2 + b2 = c2 where c is called the hypotenuse while a and b are the sides of the triangle.

 

Investigations

 TASK 1

  • Drag the red point.
  • Press "Define" button.
  • Drag five pieces to fit in the square below.
 

 TASK2

  • Drag the red point.
  • Press "Define" button.
  • Drag five pieces of quadrilaterals to fit in the square below.

 TASK 3

  • Drag the red point in the left figure to decide the bases of the right triangle ( lengths of a and b).
  • Drag the red point in the left figure to observe various patterns of dissection.

  

 

 TASK 4

  • The following figure shows a 3D visual proof of the  Pythagoras Theorem.

 

 

 

 

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