004 pythagorean thm

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  • 1. Geometry drill 1/8/13Warm UpClassify each triangle by its angle measures.1. 2. acute right3. Simplify124. 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-__________ ca 4. Right Triangle Def.Legs-__________a and b ca 5. Right Triangle Def.Legs-__________a and bHypotenuse-______ ca 6. Right Triangle Def.Legs-__________a and bHypotenuse-______c ca 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 acof the_________. 10. PythagoreanTheorem triangle, For any rightthe sum of the squareof the two legs___is equal tothe square acof the_________. hypotenuse 11. PythagoreanTheorema +b =c2 2 2cab 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 222a +b