Math Problem Statement

Find the missing sides using the Pythagorean Theorem and the properties of right triangles.

Solution

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Here’s a general breakdown of what the worksheet seems to cover:

  1. Right Triangles and Special Angles: Some questions require using trigonometric ratios (e.g., sine, cosine, tangent) or special angle properties (like 45°-45°-90° and 30°-60°-90° triangles).
  2. Pythagorean Theorem Problems: Some questions involve using the Pythagorean theorem to find missing side lengths in right triangles.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Geometry
Right Triangles

Formulas

Pythagorean Theorem: a² + b² = c²
Special Right Triangles: 45°-45°-90°, 30°-60°-90°

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 8-10