Table of contents
- 0. Review of College Algebra4h 45m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
7. Non-Right Triangles
Law of Cosines
Multiple Choice
In a quadrilateral, what is the sum of the measures of all four interior angles?
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B
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Verified step by step guidance1
Recall the general formula for the sum of interior angles of any polygon: \(\text{Sum of interior angles} = (n - 2) \times 180^\circ\), where \(n\) is the number of sides of the polygon.
Identify that a quadrilateral has 4 sides, so substitute \(n = 4\) into the formula.
Calculate the sum by evaluating \((4 - 2) \times 180^\circ\).
Simplify the expression to find the total sum of the interior angles of the quadrilateral.
Understand that this sum represents the combined measure of all four interior angles in the quadrilateral.
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Textbook Question
In Exercises 9–24, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.a = 3, b = 3, c = 3
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