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, xx) is the side directly opposite to that angle. Looking at the triangle in the image:

  • The angle xx is at the bottom left of the triangle.
  • The side labeled rr is directly across from xx.

Thus, the opposite side relative to angle xx is labeled rr.

Would you like additional details or have further questions?

Related Questions:

  1. How is the opposite side defined in trigonometric contexts?
  2. What are the adjacent and hypotenuse sides relative to angle xx?
  3. How does this triangle relate to sine, cosine, and tangent definitions?
  4. What are the practical uses of identifying opposite sides in real-world problems?
  5. 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