10-1 The Pythagorean Theorem
Objectives
To solve problems using the Pythagorean Theorem
To identify right triangles
Lesson Vocabulary
- hypotenuse
- leg
- Pythagorean Theorem
- conditional
- hypothesis
- conclusion
- converse
There are special names for the sides of a right triangle like the one in the Solve It. The side opposite the right angle is the hypotenuse. It is the longest side. Each of the sides forming the right angle is a leg. The Pythagorean Theorem, named after the Greek mathematician Pythagoras, relates the lengths of the legs and the length of the hypotenuse.
Essential Understanding The lengths of the sides of a right triangle have a special relationship. If you know the lengths of any two of the sides, you can find the length of the third side.
Take Note: Theorem The Pythagorean Theorem
Words
In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Algebra
Diagram
Table of Contents
- 2-1 and 2-2 Solving One- and Two-Step Equations
- 2-3 Solving Multi-Step Equations
- 2-4 Solving Equations With Variables on Both Sides
- 2-5 Literal Equations and Formulas
- 2-6 Ratios, Rates, and Conversions
- 2-7 and 2-8 Solving Proportions and Using Similar Figures
- 2-9 Percents
- 2-10 Change Expressed as a Percent
- 3-1 Inequalities and Their Graphs
- 3-2 Solving Inequalities Using Addition or Subtraction
- 3-3 Solving Inequalities Using Multiplication or Division
- 3-4 Solving Multi-Step Inequalities
- 3-5 Working With Sets
- 3-6 Compound Inequalities
- 3-7 Absolute Value Equations and Inequalities
- 3-8 Unions and Intersections of Sets
- Chapter 1 Foundations for Algebra
- Chapter 2 Solving Equations
- Chapter 3 Solving Inequalities
- Chapter 4 An Introduction to Functions
- Chapter 5 Linear Functions
- Chapter 6 Systems of Equations and Inequalities
- Chapter 7 Exponents and Exponential Functions
- Chapter 8 Polynomials and Factoring
- Chapter 9 Quadratic Functions and Equations
- Chapter 10 Radical Expressions and Equations
- Chapter 11 Rational Expressions and Functions
- Chapter 12 Data Analysis and Probability