004 pythagorean thm

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  • 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. ObjectiveSW define and apply thePythagorean Theoremso that they can find thedimensions of geometricfigures.
  • 3. Right Triangle Def.Legs-__________ c a
  • 4. Right Triangle Def.Legs-__________ a and b c a
  • 5. Right Triangle Def.Legs-__________ a and bHypotenuse-______ c a
  • 6. Right Triangle Def.Legs-__________ a and bHypotenuse-______ c c a
  • 7. Hypotenuse The ________ side of a right triangle across from the ________ angle.
  • 8. Hypotenuse The ________ side of longest a right triangle across from the ________ right angle.
  • 9. PythagoreanTheorem triangle, For any rightthe sum of the squareof the two ___is equal tothe square a cof the_________.
  • 10. PythagoreanTheorem triangle, For any rightthe sum of the squareof the two legs ___is equal tothe square a cof the_________. hypotenuse
  • 11. PythagoreanTheorema +b =c 2 2 2 c a b
  • 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. 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. 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. 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. 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. 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. Corollary to thePythagoreanTheorema +b >c acute 2 2 2a +b <c 2 2 2 obtusea +b =c 2 2 2 right
  • 19. Is the followingtriangle acute, obtuseor right? 12 15 10
  • 20. Is the followingtriangle acute, obtuseor right? 3 5 4
  • 21. Is the followingtriangle acute, obtuseor right? 12 20 10
  • 22. ConclusionSummarize thecorollary to thePythagoreantheorem:
  • 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.