PYTHAGOREAN THEOREM Jim Smith JCHS Section 7-2  spi.3.2.N http://sid.at/hs-strassburg/images/pythagoras.jpg
If You Have A Right Triangle, Then a ² + b² = c² a b c
Find The Value Of X x 3 5 7 8 x 2 x 6
Find The Value Of X x 3 5 x² + 3² = 5²  x ²  + 9 = 25 x²  = 16 x = 4 This is our 1 st  special right Triangle  3,4,5
7² + 8² = x² 49 + 64 = x² 113 = x² 113 = x 10.6 = x  Find The Value Of X 7 8 x
Find The Value Of X 2 x 6 2² + x² = 6² 4 + x² = 36 x² = 32 x =  32 = 4  2 x = 5.7
The Converse Of The  Pythagorean Theorem If a² + b² = c², Then You Have A Right Triangle
Do These Lengths Form  Right Triangles ? 5, 6, 10  6, 8, 10 5² + 6²  ??  10² 25 + 36  100 61  ≠  100 NO 6² + 8²  ??  10² 3...
If the  c²   = a² + b² , then right If the  c²   is  greater , then  obtuse If the  c²   is  smaller , then  acute What Ki...
4,7,9 4² + 7²  ??  9² 16 + 49  ??  81 65  81 OBTUSE greater
5,5,7 5² + 5²  ??  7²  25 +25  ??  49 50  ??  49 ACUTE SMALLER
A Pythagorean Triple Is Any 3  Integers That Form  A Right Triangle 3, 4, 5 Family 6,8,10 30,40,50 15,20,25 5, 12, 13 Fami...
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7 2 pyth theorem

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7 2 pyth theorem

  1. 1. PYTHAGOREAN THEOREM Jim Smith JCHS Section 7-2 spi.3.2.N http://sid.at/hs-strassburg/images/pythagoras.jpg
  2. 2. If You Have A Right Triangle, Then a ² + b² = c² a b c
  3. 3. Find The Value Of X x 3 5 7 8 x 2 x 6
  4. 4. Find The Value Of X x 3 5 x² + 3² = 5² x ² + 9 = 25 x² = 16 x = 4 This is our 1 st special right Triangle 3,4,5
  5. 5. 7² + 8² = x² 49 + 64 = x² 113 = x² 113 = x 10.6 = x Find The Value Of X 7 8 x
  6. 6. Find The Value Of X 2 x 6 2² + x² = 6² 4 + x² = 36 x² = 32 x = 32 = 4 2 x = 5.7
  7. 7. The Converse Of The Pythagorean Theorem If a² + b² = c², Then You Have A Right Triangle
  8. 8. Do These Lengths Form Right Triangles ? 5, 6, 10 6, 8, 10 5² + 6² ?? 10² 25 + 36 100 61 ≠ 100 NO 6² + 8² ?? 10² 36 + 64 100 100 = 100 YES
  9. 9. If the c² = a² + b² , then right If the c² is greater , then obtuse If the c² is smaller , then acute What Kind Of Triangle ? a² + b² ?? c²
  10. 10. 4,7,9 4² + 7² ?? 9² 16 + 49 ?? 81 65 81 OBTUSE greater
  11. 11. 5,5,7 5² + 5² ?? 7² 25 +25 ?? 49 50 ?? 49 ACUTE SMALLER
  12. 12. A Pythagorean Triple Is Any 3 Integers That Form A Right Triangle 3, 4, 5 Family 6,8,10 30,40,50 15,20,25 5, 12, 13 Family 10,24,26 25,60,65 35,84,91

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