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Pre-Calculus Homework Solutions 128

Pre-Calculus Homework Solutions 128 - 48 m Q m R 180 16 68...

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43. KL ¬ ( 1 3) 2 (5 2) 2 ¬ 16 9 or 5 LM ¬ [ 3 ( 1)] 2 ( 7 5) 2 ¬ 4 144 ¬ 148 ¬ 12.2 KM ¬ ( 3 3) 2 ( 7 2) 2 ¬ 36 81 ¬ 117 ¬ 10.8 The side lengths in order from least to greatest are KL , KM , LM , so the angles in order from the least to the greatest measure are M , L , K . 44. Sample answer: Draw a triangle that satisfies the given information. Then draw the medians and measure them to find their lengths. In ABC , AB AC BC . Measure AM , BN , and CO . In this triangle CO BN AM . 45. 8 x 4 11 x 37 5 x 21 ¬ 180 24 x 12 ¬ 180 24 x ¬ 192 x ¬ 8 8 x 4 ¬ 8(8) 4 or 68 11 x 37 ¬ 11(8) 37 or 51 5 x 21 ¬ 5(8) 21 or 61 68 61 51, so the lengths of the legs of the trip in order from greatest to least are Phoenix to Atlanta, Des Moines to Phoenix, Atlanta to Des Moines. 46. m P m Q m R ¬ 180 9 n 29 93 5 n 10 n 2 ¬ 180 14 n 124 ¬ 180 14 n ¬ 56 n ¬ 4 m P ¬ 9(4) 29 or 65 m Q ¬ 93 5(4) or 73 m R ¬ 10(4) 2 or 42 m R m P m Q , so the sides of PQR in order from shortest to longest are PQ , QR , PR . 47. m P m Q m R ¬ 180 12 n 9 62 3 n 16 n 2 ¬ 180 25 n 55 ¬ 180 25 n ¬ 125 n ¬ 5 m P ¬ 12(5) 9 or 51 m Q ¬ 62 3(5) or 47 m R ¬
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