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Geometry

Right Triangles are special in many ways. Without them, we wouldn't have the Pythagorean Theorem, or Trigonometry! Studying Right Triangles is necessary for discovering more advanced topics in mathematics. Terms Associated with Square Root Functions and The Product Property of Square Roots will give you the tools to solve right triangle problems using the Pythagorean Theorem. Explore the key components of 30-60-90 Triangles, and 45-45-90 Triangles and their unique properties. By delving into applications, equations and key elements specific to Right Triangles, you will establish a solid foundation in Geometry.

- Terms Associated with Square Root Functions
- The Product Property of Square Roots
- The Quotient Property of Square Roots
- Rationalizing the Denominator
- Adding Radical Expressions with Like Radicands
- Adding Radical Expressions with Unlike Radicands
- Product Property of Radicals
- Simplifying Radicals with Prime Factorization
- Simplifying Radicals with Perfect Squares
- Introduction to Right Triangles
- 30-60-90 Triangles
- 45-45-90 Triangles
- 3-4-5 Triangles
- 5-12-13 Triangles
- 8-15-17 Triangles
- 7-24-25 Triangles
- The Hypotenuse
- The Legs of a Right Triangle
- Complementary Angles of Right Angles
- Finding the Missing Angle of Right Triangle
- The Pythagorean Theorem
- Pythagorean Theorem Proof
- Pythagorean Theorem and Right Triangles
- Converse of the Pythagorean Theorem
- Finding the Missing Side of a Pythagorean Triple
- Solving for the Hypotenuse
- Solving for a Leg
- Determining the Perimeter of a Right Triangle
- More Difficult Pythagorean Theorem Examples
- Using the 30-60-90 Rule
- Finding the Missing Side of a 45-45-90 Triangle
- Determining if a Triangle is a Right Triangle
- The Distance Formula and the Pythagorean Theorem
- Area of Regular Polygons

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