3, Lesson 13, Unit 3, Grade 8, EngageNY icon
Instructional Activity

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Lesson 13. Unit 3. Grade 8 EngageNY

EngageNY7 min(s)

This Instructional Activity is a part of the Lesson 13, Unit 3, Grade 8. Students practice applying the Pythagorean theorem to find the lengths of sides of right triangles in two dimensions. The following proof of the Pythagorean theorem is based on the fact that similarity is transitive. Once it is shown that all three triangles are in fact similar, comparing the ratios of corresponding side lengths proves the theorem.

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