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The College Mathematics Journal Volume 43, 2012 - Issue 3
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Original Articles

Proof Without Words: The Pythagorean Theorem with Equilateral Triangles

Claudi AlsinaUniversitat Politècnica de Catalunya, 08028Barcelona, [email protected]
&
Roger B. NelsenLewis & Clark College, Portland, [email protected]
Page 226 | Published online: 28 Nov 2017
 
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Summary

A visual proof of a modified Pythagorean theorem, showing that the area of an equilateral triangle constructed on the hypotenuse of a right triangle equals the sum of the areas of equilateral triangles constructed on the legs.

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