Unit 7 · Right Triangles and Trigonometry
7.2Converse of the Pythagorean Theorem
Quick Answer
Converse: if a² + b² = c², the triangle is right. If a² + b² > c², it is acute. If a² + b² < c², it is obtuse. Use the longest side as c when testing.
Essential Question
How can you classify a triangle as right, acute, or obtuse using only its side lengths?
Learning Goals
- 1State the Converse of the Pythagorean Theorem.
- 2Classify triangles as right, acute, or obtuse given side lengths.
- 3Determine whether three lengths form a right triangle.
Key Vocabulary
Converse of the Pythagorean Theorem
If a² + b² = c², then the triangle is a right triangle.
Pythagorean triple
A set of three positive integers that satisfy a² + b² = c², e.g. 3-4-5.
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.