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Inscribed Similar Triangles

Division of a right triangle into two similar triangles.

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Inscribed Similar Triangles
Teacher Contributed

RWA Inscribed Similar Triangles

Topic

Iteration

Vocabulary

  • inscribed similar triangles
  • Pythagorean theorem

Student Exploration

Can geometric proofs be visually beautiful?

Check out Viola Proofs - An exampleof a beautiful geometric proofs that shows what happens when you iteratively inscribe similar triangles within a triangle.

Extension Investigation

Prove the Pythagorean Theorem using inscribed similar triangles.

Layering (optional)

More beautiful proofs

Image Attributions

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