Difference between revisions of "Use the Cosine Rule"
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The cosine rule is a commonly used rule in [[Learn Trigonometry|trigonometry.]] It can be used to investigate the properties of non-right triangles and thus allows you to find missing information, such as side lengths and angle measurements. The formula is similar to the [[Use the Pythagorean Theorem|Pythagorean Theorem]] and relatively easy to memorize. The cosine rule states that, for any triangle, <math>c^{2} = a^{2} + b^{2} - 2ab \cos{C}</math>. | The cosine rule is a commonly used rule in [[Learn Trigonometry|trigonometry.]] It can be used to investigate the properties of non-right triangles and thus allows you to find missing information, such as side lengths and angle measurements. The formula is similar to the [[Use the Pythagorean Theorem|Pythagorean Theorem]] and relatively easy to memorize. The cosine rule states that, for any triangle, <math>c^{2} = a^{2} + b^{2} - 2ab \cos{C}</math>. | ||
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== Steps == | == Steps == | ||
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#*Take the square root of both sides of the equation. This will give you the missing side length:<br><math>\sqrt{c^{2}} = \sqrt{55.2132}</math><br><math>c = 7.4306</math><br>So, Bog Trail is about 7.4306 miles long. | #*Take the square root of both sides of the equation. This will give you the missing side length:<br><math>\sqrt{c^{2}} = \sqrt{55.2132}</math><br><math>c = 7.4306</math><br>So, Bog Trail is about 7.4306 miles long. | ||
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== Tips == | == Tips == | ||
