7.1Pythagorean Theorem
Quick Answer
In a right triangle, a² + b² = c², where c is the hypotenuse. This relationship holds for all right triangles and can be used to find any missing side when two sides are known.
Essential Question
Why does the Pythagorean Theorem hold for every right triangle, and how do you decide which side is c?
Learning Goals
- 1State the Pythagorean Theorem.
- 2Identify the hypotenuse and legs.
- 3Find a missing side given the other two.
- 4Apply the theorem in real-world contexts.
Key Vocabulary
Pythagorean Theorem
In a right triangle: a² + b² = c², where c is the hypotenuse.
Hypotenuse
The side opposite the right angle; the longest side of a right triangle.
Legs
The two sides that form the right angle.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.