In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20. Use the law of cosines to find the length of LM to the nearest ten

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In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20. Use the law of cosines to find the length of LM to the nearest tenth.

Guest Mar 12, 2015

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Best Answer

+23253

+5

c² = a² + b² - 2·a·b·cos(C)

LM² = KL² + KM² - 2·KL·KM·cos(K)

LM² = 23² + 20² - 2·23·20·cos(119)

LM² = 529 + 400 - 920·cos(119)

LM² = 529 + 400 - 920·(-.48481)

LM² = 529 + 400 + 446

LM² = 1375

LM = √1375 = 37.1

geno3141 Mar 12, 2015

1⁺⁰ Answers

+23253

+5

Best Answer

c² = a² + b² - 2·a·b·cos(C)

LM² = KL² + KM² - 2·KL·KM·cos(K)

LM² = 23² + 20² - 2·23·20·cos(119)

LM² = 529 + 400 - 920·cos(119)

LM² = 529 + 400 - 920·(-.48481)

LM² = 529 + 400 + 446

LM² = 1375

LM = √1375 = 37.1

geno3141 Mar 12, 2015

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