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8 1 Similarity In Rt Tri
 

8 1 Similarity In Rt Tri

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    8 1 Similarity In Rt Tri 8 1 Similarity In Rt Tri Presentation Transcript

    • Right Triangles 8-1 Similarity in Right Triangles
    • Review Means Extremes Means
    • Geometric Mean The geometric mean between a and b is x if you do this: What is x?
    • What is the geometric mean between 2 and 18?
      • 9
      • 6
      • 20
      • 8
      0 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
    • Theorem
      • If the altitude is drawn to the hyp. of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
    • Corollary
      • The length of the altitude is the geometric mean between the segments of the hypotenuse
    • Corollary 2
      • Each leg is the geometric mean between the hyp. And the segment of the hyp. that is adjacent to that leg
    • u is the geometric mean between __ and __.
      • s,r
      • k,r
      • k,s
      • v,u
      • t,r
      u k t v s r 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
    • t is the geometric mean between __ and __.
      • s,r
      • k,r
      • k,s
      • t,u
      u k t v s r 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
    • v is the geometric mean between __ and __.
      • s,r
      • k,r
      • k,s
      • t,v
      u k t v s r 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
    • v is the geometric mean between __ and __.
      • s,r
      • k,r
      • k,s
      • t,v
      u k t v s r 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 7
    • SPICSA
      • Page 288 2-24 even