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Pre-Calculus Homework Solutions 170

Pre-Calculus Homework Solutions 170 - 32 To find y 2y 6 3y...

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32. L is on PN and M is on RN so graph N , P , and R and extend PN and RN so that PR divides NL and MN . P L N P 2 1 , and PR divides NL and MN proportionally so M RN R 2 1 . Then LP 2( PN ) and MR 2( RN ). Starting at N (8, 20), move to P (11, 16) by moving down 4 units and then right 3 units. Locate L by moving from P down 8 units and then right 6 units. The coordinates of L are (17, 8). Now starting at N (8, 20), move to R (3, 8) by moving down 12 units and then left 5 units. Locate M by moving from R down 24 units and then left 10 units. The coordinates of M are ( 7, 16). Verify that LP 2( PN ) and MR 2( RN ). PN ¬ (11 8) 2 (16 20) 2 ¬ 9 16 ¬ 25 or 5 LP ¬ (11 17) 2 (16 8) 2 36 64 100 or 10 So, LP 2( PN ). RN (8 3) 2 (20 8) 2 25 144 169 or 13 MR [3 ( 7)] 2 [8 ( 16)] 2 100 576 676 or 26 So, MR 2( RN ). 33. To find x : The sides of the large triangle are cut in equal parts by the segment whose length is labeled x 2, so this segment is a midsegment and its length is half the length of the segment whose length is labeled 5 3 x 11. x 2 ¬ 1 2 5 3 x 11 x 2 ¬ 5 6 x 1 2 1 1 6 x 2 ¬ 1 2 1 1 6
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