Math Problem Statement
Which letter labels the opposite side of this right-angled triangle, relative to angle x?
Solution
The opposite side of a right-angled triangle relative to a specific angle (in this case, ) is the side directly opposite to that angle. Looking at the triangle in the image:
- The angle is at the bottom left of the triangle.
- The side labeled is directly across from .
Thus, the opposite side relative to angle is labeled .
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Related Questions:
- How is the opposite side defined in trigonometric contexts?
- What are the adjacent and hypotenuse sides relative to angle ?
- How does this triangle relate to sine, cosine, and tangent definitions?
- What are the practical uses of identifying opposite sides in real-world problems?
- How do the Pythagorean theorem and trigonometric ratios connect in a triangle like this?
Tip:
When solving trigonometric problems, always visualize the sides relative to the angle in question to prevent confusion!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right-Angled Triangles
Formulas
Basic Trigonometric Ratios: sin(θ) = Opposite/Hypotenuse, cos(θ) = Adjacent/Hypotenuse, tan(θ) = Opposite/Adjacent
Theorems
Definition of Opposite and Adjacent Sides in a Triangle
Suitable Grade Level
Grades 7-10