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004 pythagorean thm

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004 pythagorean thm

  1. 1. Geometry drill 1/8/13Warm UpClassify each triangle by its angle measures.1. 2. acute right3. Simplify 124. If a = 6, b = 7, and c = 12, find a2 + b2 and find c2.Which value is greater? 85; 144; c2
  2. 2. ObjectiveSW define and apply thePythagorean Theoremso that they can find thedimensions of geometricfigures.
  3. 3. Right Triangle Def.Legs-__________ c a
  4. 4. Right Triangle Def.Legs-__________ a and b c a
  5. 5. Right Triangle Def.Legs-__________ a and bHypotenuse-______ c a
  6. 6. Right Triangle Def.Legs-__________ a and bHypotenuse-______ c c a
  7. 7. Hypotenuse The ________ side of a right triangle across from the ________ angle.
  8. 8. Hypotenuse The ________ side of longest a right triangle across from the ________ right angle.
  9. 9. PythagoreanTheorem triangle, For any rightthe sum of the squareof the two ___is equal tothe square a cof the_________.
  10. 10. PythagoreanTheorem triangle, For any rightthe sum of the squareof the two legs ___is equal tothe square a cof the_________. hypotenuse
  11. 11. PythagoreanTheorema +b =c 2 2 2 c a b
  12. 12. Corollary to thePythagoreanTheoremIf the sum of the squaresof the two shorter sidesof a triangle is less thanthe square of the longestside, then the triangle is______.
  13. 13. Corollary to thePythagoreanTheoremIf the sum of the squaresof the two shorter sidesof a triangle is less thanthe square of the longestside, then the triangle is______. obtuse
  14. 14. Corollary to thePythagoreanTheoremIf the sum of the squaresof the two shorter sidesof a triangle is greaterthan the square of thelongest side, then thetriangle is ______.
  15. 15. Corollary to thePythagoreanTheoremIf the sum of the squaresof the two shorter sidesof a triangle is greaterthan the square of thelongest side, then thetriangle is ______. acute
  16. 16. Corollary to thePythagoreanTheoremIf the sum of the squaresof the two shorter sidesof a triangle is equal tothe square of the longestside, then the triangle is______.
  17. 17. Corollary to thePythagoreanTheoremIf the sum of the squaresof the two shorter sidesof a triangle is equal tothe square of the longestside, then the triangle is______. right
  18. 18. Corollary to thePythagoreanTheorema +b >c acute 2 2 2a +b <c 2 2 2 obtusea +b =c 2 2 2 right
  19. 19. Is the followingtriangle acute, obtuseor right? 12 15 10
  20. 20. Is the followingtriangle acute, obtuseor right? 3 5 4
  21. 21. Is the followingtriangle acute, obtuseor right? 12 20 10
  22. 22. ConclusionSummarize thecorollary to thePythagoreantheorem:
  23. 23. 1. Find the value of x. 122. An entertainment center is 52 in. wide and 40 in.high. Will a TV with a 60 in. diagonal fit in it?Explain.

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