Pre-Calculus Homework Solutions 141

Pre-Calculus Homework Solutions 141 - 4. Given: MO ON MP NP...

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143 Chapter 5 58. JK 5 ¬ Ï (1 2 6 w ) 2 1 ( 2 w 6 2 4) w 2 w 5 ¬ Ï 25 1 1 w 00 w or Ï 125 w PQ 5 Ï (5 2 0 w ) 2 1 ( 2 w 3 2 7) w 2 w 5 ¬ Ï 25 1 1 w 00 w or Ï 125 w KL 5 ¬ Ï ( 2 9 2 w 1) 2 1 w [5 2 ( w 2 6)] 2 w 5 ¬ Ï 100 1 w 121 w or Ï 221 w QR 5 ¬ Ï (15 2 w 5) 2 1 w [8 2 ( w 2 3)] 2 w 5 ¬ Ï 100 1 w 121 w or Ï 221 w JL 5 ¬ Ï ( 2 9 2 w 6) 2 1 w (5 2 4 w ) 2 w 5 ¬ Ï 225 1 w 1 w or Ï 226 w PR 5 ¬ Ï (15 2 w 0) 2 1 w (8 2 7 w ) 2 w 5 ¬ Ï 225 1 w 1 w or Ï 226 w The corresponding sides have the same measure and are congruent. n JKL > n PQR by SSS. 59. JK 5 ¬ Ï [1 2 ( w 2 6)] 2 w 1 [5 2 w ( 2 3)] w 2 w 5 ¬ Ï 49 1 6 w 4 w or Ï 113 w PQ 5 ¬ Ï (5 2 2 w ) 2 1 [ 2 w 4 2 ( 2 w 11)] 2 w 5 ¬ Ï 9 1 49 w or Ï 58 w KL 5 ¬ Ï (2 2 1 w ) 2 1 ( 2 w 2 2 5) w 2 w 5 ¬ Ï 1 1 49 w or Ï 50 w QR 5 ¬ Ï (10 2 w 5) 2 1 w [ 2 10 w 2 ( 2 4 w )] 2 w 5 ¬ Ï 25 1 3 w 6 w or Ï 61 w JL 5 ¬ Ï [2 2 ( w 2 6)] 2 w 1 [ 2 2 w 2 ( 2 3 w )] 2 w 5 ¬ Ï 64 1 1 w or Ï 65 w PR 5 ¬ Ï (10 2 w 2) 2 1 w [ 2 10 w 2 ( 2 1 w 1)] 2 w 5 ¬ Ï 64 1 1 w or Ï 65 w The corresponding sides are not congruent, so the triangles are not congruent.
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