Math Problem Statement

What is the side opposite ∠A in the given right triangle?

Solution

In the provided image, the problem asks for the side opposite to angle A\angle A in the given right triangle.

From the diagram:

  • The right triangle has three sides labeled aa, bb, and cc.
  • The angle A\angle A is located at vertex AA.
  • The side opposite to A\angle A is the side across from this angle, which is labeled as bb.

Thus, the correct answer to the question "What is the side opposite A\angle A?" is:

bb.

Would you like more details, or do you have any questions? Here are some related questions that may help:

  1. How can we identify the side opposite a specific angle in any right triangle?
  2. What is the significance of the hypotenuse in right triangles?
  3. How does the Pythagorean theorem relate the sides of a right triangle?
  4. What is the difference between adjacent and opposite sides in trigonometry?
  5. Can you apply sine, cosine, or tangent to find missing angles or sides?

Tip: The side opposite an angle in a right triangle is always the one that does not form part of that angle itself!

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Right Triangles

Formulas

Opposite side: The side across from a given angle in a right triangle

Theorems

Pythagorean Theorem
Basic properties of right triangles

Suitable Grade Level

Grades 6-8