8th Grade Math (Math 8) · Chapter 11 · Lesson 11.2 · Printable PDF

Proving the Pythagorean Theorem by Rearrangement Worksheet with Answer Key

6 problems on proving the Pythagorean theorem by area: four triangles in a square, rearranging pieces, a tray puzzle, Garfield's proof, triangles with legs x and 2x, and Mateo's squares. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Proving the Pythagorean theorem by rearrangement worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Find areas when four copies of a right triangle sit in a square 56 cm wide.
  2. Show a square of side c holds four right triangles and a small square.
  3. Word problem: the pieces of Priya's tray puzzle that fill a square tray.
  4. Prove the theorem using Garfield's two triangles on a base.
  5. Find the square and triangle sizes when the legs are x and 2x.
  6. Place four copies of a right triangle in a square and find the inner square.

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The free lesson teaches it with worked examples and practice problems.

Proving the Pythagorean theorem by rearrangement: the lesson ›

More Chapter 11 worksheets: The Pythagorean theorem and distance