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en:proof-of-the-law-of-cosines [2017/07/14 10:34] federico |
en:proof-of-the-law-of-cosines [2017/07/14 10:36] federico |
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{{:en:law-of-cosines2-fs8.png?nolink|}} | {{:en:law-of-cosines2-fs8.png?nolink|}} | ||
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Using trigonometry, the sides of the green triangle are | Using trigonometry, the sides of the green triangle are | ||
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* (b sin θ) | * (b sin θ) | ||
* (c - b cos(θ)) | * (c - b cos(θ)) | ||
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+ | {{:en:law-of-cosines3-fs8.png?nolink|}} | ||
Using the Pythagorean Theorem: | Using the Pythagorean Theorem: |