Which of the following angle measurements might you find in a right triangle?
Table of contents
- 0. Review of College Algebra4h 43m
- 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
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
Rhombus WXYZ is graphed on a coordinate plane with vertices at , , , and . What is the perimeter of the rhombus?
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Verified step by step guidance1
Identify the vertices of the rhombus WXYZ as given: W(0,0), X(4,0), Y(2,3), and Z(-2,3).
Recall that a rhombus has all sides of equal length, so to find the perimeter, we need to find the length of one side and then multiply by 4.
Use the distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\): \[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\] to calculate the length of one side, for example, between points W(0,0) and X(4,0).
Calculate the distance between W and X by substituting the coordinates into the distance formula: \[d = \sqrt{(4 - 0)^2 + (0 - 0)^2}\].
Multiply the length of one side by 4 to find the perimeter of the rhombus: \[\text{Perimeter} = 4 \times d\].
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