Converse of the Pythagorean Theorem

Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th instructional activity in a 25-part series. The examples ask learners to verify right triangles using the converse of the Pythagorean Theorem and find unknown side lengths using the Theorem.

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CCSS: Designed
Instructional Ideas

  • Have your classes use protractors to create right triangles, measure the sides, and test the Pythagorean Theorem
  • Write answers in both radical and decimal form to emphasize the relationship
Classroom Considerations

  • Pupils should have an understanding of converse statements and the Pythagorean Theorem
Pros

  • Provides a detailed teaching guide with explanations and suggestions
  • Includes both opening and closing exercises
Cons

  • None
Common Core