7.1.1 Apply the Pythagorean Theorem

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7.1.1 Apply the Pythagorean Theorem Powered By Docstoc
					CHAPTER 7: RIGHT TRIANGLES
AND TRIGONOMETRY
7.1.1 Apply the Pythagorean Theorem
 PYTHAGOREAN THEOREM
 The theorem we have known so well, now we formalize:
 In a right triangle, the square of the length of the
  hypotenuse is equal to the sum of the squares of the
  lengths of the legs.
 a2 + b2 = c2


                        B


                                  c
                        a


                                             A
                        C          b
FIND THE VALUE OF X




                 B


                      x+1
                 x


                            A
                  C   3
PYTHAGOREAN TRIPLE
 Is any triplet (a, b, c) such that, a, b, and c are
  positive integers and a2 + b2 = c2
 Most common:

 3, 4, 5  6, 8, 10  (any multiple)

 5, 12, 13  10, 24, 26  etc.

 8, 15, 17  16, 30, 34

 7, 24, 25  14, 48, 50
FIND THE VALUE OF X




                 B


                      x2
                 12


                           A
                  C   9
HOMEWORK
   P. 436


   1 – 10, 14 – 16, 24 - 30

				
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